88405162560000 has 8000 divisors, whose sum is σ = 435007511237376. Its totient is φ = 17517772800000.

The previous prime is 88405162559963. The next prime is 88405162560047. The reversal of 88405162560000 is 6526150488.

88405162560000 is a `hidden beast` number, since 8 + 8 + 4 + 0 + 5 + 16 + 25 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 1449264959970 + ... + 1449264960030.

Almost surely, 2^{88405162560000} is an apocalyptic number.

88405162560000 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 88405162560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217503755618688).

88405162560000 is an abundant number, since it is smaller than the sum of its proper divisors (346602348677376).

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

88405162560000 is a wasteful number, since it uses less digits than its factorization.

88405162560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 88405162560000 in words is "eighty-eight trillion, four hundred five billion, one hundred sixty-two million, five hundred sixty thousand".