88977101101056 has 1152 divisors, whose sum is σ = 318812772096000. Its totient is φ = 24421765939200.

The previous prime is 88977101100997. The next prime is 88977101101099. The reversal of 88977101101056 is 65010110177988.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 88977101100993 and 88977101101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11675248926 + ... + 11675256546.

It is an arithmetic number, because the mean of its divisors is an integer number (276747198000).

Almost surely, 2^{88977101101056} 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 88977101101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159406386048000).

88977101101056 is an abundant number, since it is smaller than the sum of its proper divisors (229835670994944).

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

88977101101056 is a wasteful number, since it uses less digits than its factorization.

88977101101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 88977101101056 in words is "eighty-eight trillion, nine hundred seventy-seven billion, one hundred one million, one hundred one thousand, fifty-six".