10573264132400 has 30 divisors (see below), whose sum is σ = 25402267079052. Its totient is φ = 4229305652800.

The previous prime is 10573264132367. The next prime is 10573264132447. The reversal of 10573264132400 is 423146237501.

10573264132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10573264132400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13216579766 + ... + 13216580565.

Almost surely, 2^{10573264132400} is an apocalyptic number.

10573264132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10573264132400 is an abundant number, since it is smaller than the sum of its proper divisors (14829002946652).

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

10573264132400 is a wasteful number, since it uses less digits than its factorization.

10573264132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26433160349 (or 26433160338 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 10573264132400 in words is "ten trillion, five hundred seventy-three billion, two hundred sixty-four million, one hundred thirty-two thousand, four hundred".