11231976960 has 240 divisors, whose sum is σ = 39285458784. Its totient is φ = 2965487616.

The previous prime is 11231976953. The next prime is 11231976961. The reversal of 11231976960 is 6967913211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231976961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370754 + ... + 2375486.

Almost surely, 2^11231976960 is an apocalyptic number.

11231976960 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 11231976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642729392).

11231976960 is an abundant number, since it is smaller than the sum of its proper divisors (28053481824).

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

11231976960 is a wasteful number, since it uses less digits than its factorization.

11231976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11231976960 in words is "eleven billion, two hundred thirty-one million, nine hundred seventy-six thousand, nine hundred sixty".