88850662007040 has 576 divisors, whose sum is σ = 322781778950400. Its totient is φ = 23131534196736.

The previous prime is 88850662007011. The next prime is 88850662007087. The reversal of 88850662007040 is 4070026605888.

88850662007040 is a `hidden beast` number, since 8 + 8 + 8 + 5 + 0 + 6 + 620 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×88850662007040² (a number of 29 digits) contains 22 as substring.

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

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, 3413512746 + ... + 3413538774.

It is an arithmetic number, because the mean of its divisors is an integer number (560385032900).

Almost surely, 2^{88850662007040} is an apocalyptic number.

88850662007040 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 88850662007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161390889475200).

88850662007040 is an abundant number, since it is smaller than the sum of its proper divisors (233931116943360).

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

88850662007040 is a wasteful number, since it uses less digits than its factorization.

88850662007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28399 (or 28379 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 88850662007040 in words is "eighty-eight trillion, eight hundred fifty billion, six hundred sixty-two million, seven thousand, forty".