11611139400 has 960 divisors, whose sum is σ = 51529737600. Its totient is φ = 2358927360.

The previous prime is 11611139389. The next prime is 11611139431. The reversal of 11611139400 is 493111611.

11611139400 is a `hidden beast` number, since 1 + 1 + 611 + 1 + 3 + 9 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36628042 + ... + 36628358.

It is an arithmetic number, because the mean of its divisors is an integer number (53676810).

Almost surely, 2^11611139400 is an apocalyptic number.

11611139400 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 11611139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25764868800).

11611139400 is an abundant number, since it is smaller than the sum of its proper divisors (39918598200).

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

11611139400 is a wasteful number, since it uses less digits than its factorization.

11611139400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11611139400 in words is "eleven billion, six hundred eleven million, one hundred thirty-nine thousand, four hundred".