88135107920640 has 1152 divisors, whose sum is σ = 370733381222400. Its totient is φ = 19588552704000.

The previous prime is 88135107920611. The next prime is 88135107920693. The reversal of 88135107920640 is 4602970153188.

88135107920640 is a `hidden beast` number, since 8 + 8 + 13 + 510 + 79 + 2 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 223717435 + ... + 224111045.

It is an arithmetic number, because the mean of its divisors is an integer number (321817171200).

It is a 1-persistent number, because it is pandigital, but 2⋅88135107920640 = 176270215841280 is not.

Almost surely, 2^{88135107920640} is an apocalyptic number.

88135107920640 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 88135107920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185366690611200).

88135107920640 is an abundant number, since it is smaller than the sum of its proper divisors (282598273301760).

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

88135107920640 is a wasteful number, since it uses less digits than its factorization.

88135107920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393702 (or 393682 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 88135107920640 in words is "eighty-eight trillion, one hundred thirty-five billion, one hundred seven million, nine hundred twenty thousand, six hundred forty".