88118110080000 has 10560 divisors, whose sum is σ = 482675478405120. Its totient is φ = 14863564800000.

The previous prime is 88118110079981. The next prime is 88118110080043. The reversal of 88118110080000 is 8001181188.

It is a tau number, because it is divible by the number of its divisors (10560).

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 959 ways as a sum of consecutive naturals, for example, 2842519679985 + ... + 2842519680015.

It is an arithmetic number, because the mean of its divisors is an integer number (45707905152).

Almost surely, 2^{88118110080000} is an apocalyptic number.

88118110080000 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 88118110080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241337739202560).

88118110080000 is an abundant number, since it is smaller than the sum of its proper divisors (394557368325120).

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

88118110080000 is a wasteful number, since it uses less digits than its factorization.

88118110080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

The spelling of 88118110080000 in words is "eighty-eight trillion, one hundred eighteen billion, one hundred ten million, eighty thousand".