11455005106400 has 72 divisors (see below), whose sum is σ = 29436348687480. Its totient is φ = 4340844034560.

The previous prime is 11455005106393. The next prime is 11455005106411. The reversal of 11455005106400 is 460150055411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376794179 + ... + 376824578.

It is an arithmetic number, because the mean of its divisors is an integer number (408838176215).

Almost surely, 2^{11455005106400} is an apocalyptic number.

11455005106400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11455005106400 is an abundant number, since it is smaller than the sum of its proper divisors (17981343581080).

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

11455005106400 is a wasteful number, since it uses less digits than its factorization.

11455005106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753618796 (or 753618783 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 11455005106400 in words is "eleven trillion, four hundred fifty-five billion, five million, one hundred six thousand, four hundred".