54066979764000 has 1536 divisors, whose sum is σ = 227144736000000. Its totient is φ = 12236429721600.

The previous prime is 54066979763999. The next prime is 54066979764011. The reversal of 54066979764000 is 46797966045.

54066979764000 is a `hidden beast` number, since 54 + 0 + 6 + 6 + 97 + 97 + 6 + 400 + 0 = 666.

54066979764000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50577155466 + ... + 50577156534.

It is an arithmetic number, because the mean of its divisors is an integer number (147880687500).

Almost surely, 2^{54066979764000} is an apocalyptic number.

54066979764000 is a gapful number since it is divisible by the number (50) 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 54066979764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113572368000000).

54066979764000 is an abundant number, since it is smaller than the sum of its proper divisors (173077756236000).

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

54066979764000 is a wasteful number, since it uses less digits than its factorization.

54066979764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 54066979764000 in words is "fifty-four trillion, sixty-six billion, nine hundred seventy-nine million, seven hundred sixty-four thousand".