87361935242400 has 7776 divisors, whose sum is σ = 447230986478640. Its totient is φ = 16433900421120.

The previous prime is 87361935242339. The next prime is 87361935242441. The reversal of 87361935242400 is 424253916378.

87361935242400 is a `hidden beast` number, since 8 + 7 + 3 + 6 + 1 + 93 + 524 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 345052857744 + 87016882384656 = 587412^2 + 9328284^2 .

It is a tau number, because it is divible by the number of its divisors (7776).

It is a super-2 number, since 2×87361935242400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 1648338400774 + ... + 1648338400826.

It is a 1-persistent number, because it is pandigital, but 2⋅87361935242400 = 174723870484800 is not.

Almost surely, 2^{87361935242400} is an apocalyptic number.

87361935242400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87361935242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223615493239320).

87361935242400 is an abundant number, since it is smaller than the sum of its proper divisors (359869051236240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87361935242400 is a wasteful number, since it uses less digits than its factorization.

87361935242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 87361935242400 in words is "eighty-seven trillion, three hundred sixty-one billion, nine hundred thirty-five million, two hundred forty-two thousand, four hundred".