88245974880000 has 1800 divisors, whose sum is σ = 377425454293888. Its totient is φ = 20165469696000.

The previous prime is 88245974879917. The next prime is 88245974880017. The reversal of 88245974880000 is 8847954288.

88245974880000 is a `hidden beast` number, since 88 + 24 + 59 + 7 + 488 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 88245974880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 22044957999 + ... + 22044962001.

Almost surely, 2^{88245974880000} is an apocalyptic number.

88245974880000 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 88245974880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188712727146944).

88245974880000 is an abundant number, since it is smaller than the sum of its proper divisors (289179479413888).

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

88245974880000 is an frugal number, since it uses more digits than its factorization.

88245974880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 88245974880000 in words is "eighty-eight trillion, two hundred forty-five billion, nine hundred seventy-four million, eight hundred eighty thousand".