10254732400 has 120 divisors (see below), whose sum is σ = 27083409408. Its totient is φ = 3700320000.

The previous prime is 10254732379. The next prime is 10254732431. The reversal of 10254732400 is 423745201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567505 + ... + 585295.

Almost surely, 2^10254732400 is an apocalyptic number.

10254732400 is a gapful number since it is divisible by the number (10) 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 10254732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13541704704).

10254732400 is an abundant number, since it is smaller than the sum of its proper divisors (16828677008).

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

10254732400 is a wasteful number, since it uses less digits than its factorization.

10254732400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17951 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 10254732400 in words is "ten billion, two hundred fifty-four million, seven hundred thirty-two thousand, four hundred".