88763351040 has 1440 divisors, whose sum is σ = 400753516800. Its totient is φ = 18728091648.

The previous prime is 88763351009. The next prime is 88763351051. The reversal of 88763351040 is 4015336788.

88763351040 is a `hidden beast` number, since 8 + 8 + 7 + 633 + 5 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 6827950074 + ... + 6827950086.

Almost surely, 2^88763351040 is an apocalyptic number.

88763351040 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 88763351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200376758400).

88763351040 is an abundant number, since it is smaller than the sum of its proper divisors (311990165760).

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

88763351040 is an frugal number, since it uses more digits than its factorization.

88763351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 88763351040 in words is "eighty-eight billion, seven hundred sixty-three million, three hundred fifty-one thousand, forty".