87450017126400 has 1152 divisors, whose sum is σ = 332062446643200. Its totient is φ = 22535022182400.

The previous prime is 87450017126389. The next prime is 87450017126411. The reversal of 87450017126400 is 462171005478.

87450017126400 is a `hidden beast` number, since 8 + 7 + 4 + 50 + 0 + 171 + 26 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (87450017126389) and next prime (87450017126411).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×87450017126400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46839858267 + ... + 46839860133.

It is an arithmetic number, because the mean of its divisors is an integer number (288248651600).

Almost surely, 2^{87450017126400} is an apocalyptic number.

87450017126400 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 87450017126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166031223321600).

87450017126400 is an abundant number, since it is smaller than the sum of its proper divisors (244612429516800).

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

87450017126400 is a wasteful number, since it uses less digits than its factorization.

87450017126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 87450017126400 in words is "eighty-seven trillion, four hundred fifty billion, seventeen million, one hundred twenty-six thousand, four hundred".