652805222400 has 1872 divisors, whose sum is σ = 2743971894400. Its totient is φ = 151608360960.

The previous prime is 652805222353. The next prime is 652805222423. The reversal of 652805222400 is 4222508256.

652805222400 is a `hidden beast` number, since 6 + 5 + 28 + 0 + 5 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15181516779 + ... + 15181516821.

Almost surely, 2^652805222400 is an apocalyptic number.

652805222400 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 652805222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371985947200).

652805222400 is an abundant number, since it is smaller than the sum of its proper divisors (2091166672000).

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

652805222400 is a wasteful number, since it uses less digits than its factorization.

652805222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 652805222400 in words is "six hundred fifty-two billion, eight hundred five million, two hundred twenty-two thousand, four hundred".