87952755105600 has 2016 divisors, whose sum is σ = 385554625424640. Its totient is φ = 17122649702400.

The previous prime is 87952755105559. The next prime is 87952755105671. The reversal of 87952755105600 is 650155725978.

87952755105600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15827378022 + ... + 15827383578.

It is an arithmetic number, because the mean of its divisors is an integer number (191247334040).

Almost surely, 2^{87952755105600} is an apocalyptic number.

87952755105600 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 87952755105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192777312712320).

87952755105600 is an abundant number, since it is smaller than the sum of its proper divisors (297601870319040).

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

87952755105600 is a wasteful number, since it uses less digits than its factorization.

87952755105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 60.

The spelling of 87952755105600 in words is "eighty-seven trillion, nine hundred fifty-two billion, seven hundred fifty-five million, one hundred five thousand, six hundred".