10455635600 has 120 divisors (see below), whose sum is σ = 25470036480. Its totient is φ = 4124367360.

The previous prime is 10455635581. The next prime is 10455635627. The reversal of 10455635600 is 653655401.

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, 9618257 + ... + 9619343.

It is an arithmetic number, because the mean of its divisors is an integer number (212250304).

Almost surely, 2^10455635600 is an apocalyptic number.

10455635600 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 10455635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735018240).

10455635600 is an abundant number, since it is smaller than the sum of its proper divisors (15014400880).

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

10455635600 is a wasteful number, since it uses less digits than its factorization.

10455635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 10455635600 in words is "ten billion, four hundred fifty-five million, six hundred thirty-five thousand, six hundred".