11631010400 has 36 divisors (see below), whose sum is σ = 28394206092. Its totient is φ = 4652403840.

The previous prime is 11631010351. The next prime is 11631010427. The reversal of 11631010400 is 401013611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7268582 + ... + 7270181.

It is an arithmetic number, because the mean of its divisors is an integer number (788727947).

Almost surely, 2^11631010400 is an apocalyptic number.

11631010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631010400 is an abundant number, since it is smaller than the sum of its proper divisors (16763195692).

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

11631010400 is a wasteful number, since it uses less digits than its factorization.

11631010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538783 (or 14538770 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 11631010400 in words is "eleven billion, six hundred thirty-one million, ten thousand, four hundred".