11497916876160 has 1024 divisors, whose sum is σ = 44137576304640. Its totient is φ = 2508796723200.

The previous prime is 11497916876111. The next prime is 11497916876189. The reversal of 11497916876160 is 6167861979411.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11497916876091 and 11497916876100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3780964240 + ... + 3780967280.

It is an arithmetic number, because the mean of its divisors is an integer number (43103101860).

Almost surely, 2^{11497916876160} is an apocalyptic number.

11497916876160 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 11497916876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068788152320).

11497916876160 is an abundant number, since it is smaller than the sum of its proper divisors (32639659428480).

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

11497916876160 is a wasteful number, since it uses less digits than its factorization.

11497916876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 66.

The spelling of 11497916876160 in words is "eleven trillion, four hundred ninety-seven billion, nine hundred sixteen million, eight hundred seventy-six thousand, one hundred sixty".