88107982018560 has 768 divisors, whose sum is σ = 378994034764800. Its totient is φ = 18954315104256.

The previous prime is 88107982018499. The next prime is 88107982018601. The reversal of 88107982018560 is 6581028970188.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31562139 + ... + 34240101.

It is an arithmetic number, because the mean of its divisors is an integer number (493481816100).

Almost surely, 2^{88107982018560} is an apocalyptic number.

88107982018560 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 88107982018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189497017382400).

88107982018560 is an abundant number, since it is smaller than the sum of its proper divisors (290886052746240).

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

88107982018560 is a wasteful number, since it uses less digits than its factorization.

88107982018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678023 (or 2677997 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 88107982018560 in words is "eighty-eight trillion, one hundred seven billion, nine hundred eighty-two million, eighteen thousand, five hundred sixty".