87463584794880 has 1728 divisors, whose sum is σ = 381990324334080. Its totient is φ = 18556863381504.

The previous prime is 87463584794759. The next prime is 87463584794881. The reversal of 87463584794880 is 8849748536478.

87463584794880 is a `hidden beast` number, since 8 + 7 + 4 + 63 + 5 + 8 + 4 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 87463584794880.

It is not an unprimeable number, because it can be changed into a prime (87463584794881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5103777672 + ... + 5103794808.

Almost surely, 2^{87463584794880} is an apocalyptic number.

87463584794880 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 87463584794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190995162167040).

87463584794880 is an abundant number, since it is smaller than the sum of its proper divisors (294526739539200).

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

87463584794880 is a wasteful number, since it uses less digits than its factorization.

87463584794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17281 (or 17244 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 81.

The spelling of 87463584794880 in words is "eighty-seven trillion, four hundred sixty-three billion, five hundred eighty-four million, seven hundred ninety-four thousand, eight hundred eighty".