11957286096 has 200 divisors, whose sum is σ = 39687620544. Its totient is φ = 3404643840.

The previous prime is 11957286049. The next prime is 11957286109. The reversal of 11957286096 is 69068275911.

11957286096 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 7 + 28 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2837431 + ... + 2841641.

Almost surely, 2^11957286096 is an apocalyptic number.

11957286096 is a gapful number since it is divisible by the number (16) 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 11957286096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843810272).

11957286096 is an abundant number, since it is smaller than the sum of its proper divisors (27730334448).

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

11957286096 is a wasteful number, since it uses less digits than its factorization.

11957286096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11957286096 in words is "eleven billion, nine hundred fifty-seven million, two hundred eighty-six thousand, ninety-six".