54677954136960 has 3072 divisors, whose sum is σ = 267051810816000. Its totient is φ = 10415410790400.

The previous prime is 54677954136833. The next prime is 54677954136973. The reversal of 54677954136960 is 6963145977645.

54677954136960 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 7 + 95 + 413 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5485893897 + ... + 5485903863.

It is an arithmetic number, because the mean of its divisors is an integer number (86930928000).

Almost surely, 2^{54677954136960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54677954136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133525905408000).

54677954136960 is an abundant number, since it is smaller than the sum of its proper divisors (212373856679040).

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

54677954136960 is a wasteful number, since it uses less digits than its factorization.

54677954136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 54677954136960 in words is "fifty-four trillion, six hundred seventy-seven billion, nine hundred fifty-four million, one hundred thirty-six thousand, nine hundred sixty".