11496256057680 has 80 divisors (see below), whose sum is σ = 35725529520960. Its totient is φ = 3058172734464.

The previous prime is 11496256057667. The next prime is 11496256057739. The reversal of 11496256057680 is 8675065269411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58460602 + ... + 58656921.

It is an arithmetic number, because the mean of its divisors is an integer number (446569119012).

Almost surely, 2^{11496256057680} is an apocalyptic number.

11496256057680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11496256057680 is an abundant number, since it is smaller than the sum of its proper divisors (24229273463280).

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

11496256057680 is a wasteful number, since it uses less digits than its factorization.

11496256057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117117948 (or 117117942 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 11496256057680 in words is "eleven trillion, four hundred ninety-six billion, two hundred fifty-six million, fifty-seven thousand, six hundred eighty".