88865925120 has 1536 divisors, whose sum is σ = 397963238400. Its totient is φ = 18345885696.

The previous prime is 88865925119. The next prime is 88865925121. The reversal of 88865925120 is 2152956888.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88865925119) and next prime (88865925121).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88865925121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1217341404 + ... + 1217341476.

It is an arithmetic number, because the mean of its divisors is an integer number (259090650).

Almost surely, 2^88865925120 is an apocalyptic number.

88865925120 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 88865925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198981619200).

88865925120 is an abundant number, since it is smaller than the sum of its proper divisors (309097313280).

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

88865925120 is a wasteful number, since it uses less digits than its factorization.

88865925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 88865925120 in words is "eighty-eight billion, eight hundred sixty-five million, nine hundred twenty-five thousand, one hundred twenty".