88982260927040 has 224 divisors, whose sum is σ = 233544919386240. Its totient is φ = 32084039909376.

The previous prime is 88982260927009. The next prime is 88982260927103. The reversal of 88982260927040 is 4072906228988.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874493447 + ... + 874595193.

It is an arithmetic number, because the mean of its divisors is an integer number (1042611247260).

Almost surely, 2^{88982260927040} is an apocalyptic number.

88982260927040 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 88982260927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116772459693120).

88982260927040 is an abundant number, since it is smaller than the sum of its proper divisors (144562658459200).

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

88982260927040 is a wasteful number, since it uses less digits than its factorization.

88982260927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106709 (or 106699 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 65.

The spelling of 88982260927040 in words is "eighty-eight trillion, nine hundred eighty-two billion, two hundred sixty million, nine hundred twenty-seven thousand, forty".