11678049976320 has 1440 divisors, whose sum is σ = 52452910298880. Its totient is φ = 2334004346880.

The previous prime is 11678049976303. The next prime is 11678049976357. The reversal of 11678049976320 is 2367994087611.

11678049976320 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 80 + 499 + 7 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274752540 + ... + 1274761700.

It is an arithmetic number, because the mean of its divisors is an integer number (36425632152).

Almost surely, 2^{11678049976320} is an apocalyptic number.

11678049976320 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 11678049976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26226455149440).

11678049976320 is an abundant number, since it is smaller than the sum of its proper divisors (40774860322560).

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

11678049976320 is a wasteful number, since it uses less digits than its factorization.

11678049976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 11678049976320 in words is "eleven trillion, six hundred seventy-eight billion, forty-nine million, nine hundred seventy-six thousand, three hundred twenty".