11531255135400 has 1152 divisors, whose sum is σ = 53401069612800. Its totient is φ = 2151998668800.

The previous prime is 11531255135369. The next prime is 11531255135419. The reversal of 11531255135400 is 453155213511.

11531255135400 is a `hidden beast` number, since 1 + 1 + 5 + 31 + 2 + 551 + 35 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66580116 + ... + 66753084.

It is an arithmetic number, because the mean of its divisors is an integer number (46355095150).

Almost surely, 2^{11531255135400} is an apocalyptic number.

11531255135400 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 11531255135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700534806400).

11531255135400 is an abundant number, since it is smaller than the sum of its proper divisors (41869814477400).

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

11531255135400 is a wasteful number, since it uses less digits than its factorization.

11531255135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173059 (or 173047 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 11531255135400 in words is "eleven trillion, five hundred thirty-one billion, two hundred fifty-five million, one hundred thirty-five thousand, four hundred".