88400400800832 has 252 divisors, whose sum is σ = 267544446845520. Its totient is φ = 27903099677184.

The previous prime is 88400400800821. The next prime is 88400400800837. The reversal of 88400400800832 is 23800800400488.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88400400800837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457986519 + ... + 458179497.

Almost surely, 2^{88400400800832} 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 88400400800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133772223422760).

88400400800832 is an abundant number, since it is smaller than the sum of its proper divisors (179144046044688).

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

88400400800832 is a wasteful number, since it uses less digits than its factorization.

88400400800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195238 (or 195206 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 88400400800832 in words is "eighty-eight trillion, four hundred billion, four hundred million, eight hundred thousand, eight hundred thirty-two".