11496879072 has 192 divisors, whose sum is σ = 38579788800. Its totient is φ = 3262809600.

The previous prime is 11496879067. The next prime is 11496879101. The reversal of 11496879072 is 27097869411.

11496879072 is a `hidden beast` number, since 1 + 1 + 496 + 87 + 9 + 0 + 72 = 666.

It is a super-3 number, since 3×11496879072³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 906954 + ... + 919542.

It is an arithmetic number, because the mean of its divisors is an integer number (200936400).

Almost surely, 2^11496879072 is an apocalyptic number.

11496879072 is a gapful number since it is divisible by the number (12) 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 11496879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289894400).

11496879072 is an abundant number, since it is smaller than the sum of its proper divisors (27082909728).

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

11496879072 is a wasteful number, since it uses less digits than its factorization.

11496879072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11496879072 in words is "eleven billion, four hundred ninety-six million, eight hundred seventy-nine thousand, seventy-two".