54767520768564 has 192 divisors, whose sum is σ = 147602600006400. Its totient is φ = 17540480434176.

The previous prime is 54767520768547. The next prime is 54767520768601. The reversal of 54767520768564 is 46586702576745.

54767520768564 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 7 + 52 + 0 + 7 + 6 + 8 + 564 = 666.

It is a super-2 number, since 2×54767520768564² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54767520768492 and 54767520768501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831453559 + ... + 831519425.

It is an arithmetic number, because the mean of its divisors is an integer number (768763541700).

Almost surely, 2^{54767520768564} is an apocalyptic number.

54767520768564 is a gapful number since it is divisible by the number (54) 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 54767520768564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73801300003200).

54767520768564 is an abundant number, since it is smaller than the sum of its proper divisors (92835079237836).

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

54767520768564 is a wasteful number, since it uses less digits than its factorization.

54767520768564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67199 (or 67191 counting only the distinct ones).

The product of its (nonzero) digits is 2370816000, while the sum is 72.

The spelling of 54767520768564 in words is "fifty-four trillion, seven hundred sixty-seven billion, five hundred twenty million, seven hundred sixty-eight thousand, five hundred sixty-four".