88409071296 has 280 divisors, whose sum is σ = 322552100640. Its totient is φ = 23316553728.

The previous prime is 88409071271. The next prime is 88409071301. The reversal of 88409071296 is 69217090488.

88409071296 is a `hidden beast` number, since 88 + 409 + 0 + 71 + 2 + 96 = 666.

It is a super-2 number, since 2×88409071296² (a number of 23 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 39 ways as a sum of consecutive naturals, for example, 378040 + ... + 565448.

It is an arithmetic number, because the mean of its divisors is an integer number (1151971788).

Almost surely, 2^88409071296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88409071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161276050320).

88409071296 is an abundant number, since it is smaller than the sum of its proper divisors (234143029344).

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

88409071296 is a wasteful number, since it uses less digits than its factorization.

88409071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187453 (or 187434 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 88409071296 in words is "eighty-eight billion, four hundred nine million, seventy-one thousand, two hundred ninety-six".