11364632400 has 120 divisors (see below), whose sum is σ = 39714270624. Its totient is φ = 2755059200.

The previous prime is 11364632359. The next prime is 11364632401. The reversal of 11364632400 is 423646311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364632401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417279 + ... + 443678.

Almost surely, 2^11364632400 is an apocalyptic number.

11364632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11364632400 is an abundant number, since it is smaller than the sum of its proper divisors (28349638224).

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

11364632400 is a wasteful number, since it uses less digits than its factorization.

11364632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860989 (or 860978 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 11364632400 in words is "eleven billion, three hundred sixty-four million, six hundred thirty-two thousand, four hundred".