88091298985536 has 2240 divisors, whose sum is σ = 351152423424000. Its totient is φ = 21157309071360.

The previous prime is 88091298985463. The next prime is 88091298985567. The reversal of 88091298985536 is 63558989219088.

88091298985536 is a `hidden beast` number, since 8 + 80 + 91 + 298 + 98 + 55 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58766709715 + ... + 58766711213.

Almost surely, 2^{88091298985536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88091298985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175576211712000).

88091298985536 is an abundant number, since it is smaller than the sum of its proper divisors (263061124438464).

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

88091298985536 is a wasteful number, since it uses less digits than its factorization.

88091298985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 81.

The spelling of 88091298985536 in words is "eighty-eight trillion, ninety-one billion, two hundred ninety-eight million, nine hundred eighty-five thousand, five hundred thirty-six".