264125654400 has 1152 divisors, whose sum is σ = 991546536960. Its totient is φ = 61666099200.

The previous prime is 264125654399. The next prime is 264125654407. The reversal of 264125654400 is 4456521462.

It is a super-2 number, since 2×264125654400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264125654407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3182236759 + ... + 3182236841.

It is an arithmetic number, because the mean of its divisors is an integer number (860717480).

Almost surely, 2^264125654400 is an apocalyptic number.

264125654400 is a gapful number since it is divisible by the number (20) 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 264125654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495773268480).

264125654400 is an abundant number, since it is smaller than the sum of its proper divisors (727420882560).

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

264125654400 is a wasteful number, since it uses less digits than its factorization.

264125654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 264125654400 in words is "two hundred sixty-four billion, one hundred twenty-five million, six hundred fifty-four thousand, four hundred".