88001800704000 has 3744 divisors, whose sum is σ = 369397043847936. Its totient is φ = 20811114086400.

The previous prime is 88001800703987. The next prime is 88001800704031. The reversal of 88001800704000 is 40700810088.

88001800704000 is a `hidden beast` number, since 8 + 8 + 0 + 0 + 180 + 0 + 70 + 400 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1313459711967 + ... + 1313459712033.

It is an arithmetic number, because the mean of its divisors is an integer number (98663740344).

Almost surely, 2^{88001800704000} is an apocalyptic number.

88001800704000 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 88001800704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184698521923968).

88001800704000 is an abundant number, since it is smaller than the sum of its proper divisors (281395243143936).

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

88001800704000 is an frugal number, since it uses more digits than its factorization.

88001800704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 88001800704000 in words is "eighty-eight trillion, one billion, eight hundred million, seven hundred four thousand".