11579351040 has 336 divisors, whose sum is σ = 40667062176. Its totient is φ = 3047424000.

The previous prime is 11579351027. The next prime is 11579351057. The reversal of 11579351040 is 4015397511.

It is a happy number.

11579351040 is a `hidden beast` number, since 1 + 1 + 57 + 93 + 510 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11579350986 and 11579351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37232485 + ... + 37232795.

Almost surely, 2^11579351040 is an apocalyptic number.

11579351040 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 11579351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333531088).

11579351040 is an abundant number, since it is smaller than the sum of its proper divisors (29087711136).

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

11579351040 is a wasteful number, since it uses less digits than its factorization.

11579351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11579351040 in words is "eleven billion, five hundred seventy-nine million, three hundred fifty-one thousand, forty".