54786272584680 has 1536 divisors, whose sum is σ = 228142714060800. Its totient is φ = 11450278195200.

The previous prime is 54786272584679. The next prime is 54786272584741. The reversal of 54786272584680 is 8648527268745.

54786272584680 is a `hidden beast` number, since 5 + 47 + 8 + 6 + 2 + 72 + 58 + 468 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54786272584599 and 54786272584608.

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, 112497479397 + ... + 112497479883.

It is an arithmetic number, because the mean of its divisors is an integer number (148530412800).

Almost surely, 2^{54786272584680} 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 54786272584680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114071357030400).

54786272584680 is an abundant number, since it is smaller than the sum of its proper divisors (173356441476120).

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

54786272584680 is a wasteful number, since it uses less digits than its factorization.

54786272584680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 54786272584680 in words is "fifty-four trillion, seven hundred eighty-six billion, two hundred seventy-two million, five hundred eighty-four thousand, six hundred eighty".