65532528230400 has 4080 divisors, whose sum is σ = 310941364871808. Its totient is φ = 13360221388800.

The previous prime is 65532528230399. The next prime is 65532528230599. The reversal of 65532528230400 is 403282523556.

65532528230400 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 2 + 5 + 2 + 8 + 230 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1236462796774 + ... + 1236462796826.

Almost surely, 2^{65532528230400} is an apocalyptic number.

65532528230400 is a gapful number since it is divisible by the number (60) 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 65532528230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155470682435904).

65532528230400 is an abundant number, since it is smaller than the sum of its proper divisors (245408836641408).

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

65532528230400 is an frugal number, since it uses more digits than its factorization.

65532528230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 65532528230400 in words is "sixty-five trillion, five hundred thirty-two billion, five hundred twenty-eight million, two hundred thirty thousand, four hundred".