54628792267560 has 256 divisors, whose sum is σ = 198578303792640. Its totient is φ = 11736549457920.

The previous prime is 54628792267477. The next prime is 54628792267561. The reversal of 54628792267560 is 6576229782645.

It is a super-2 number, since 2×54628792267560² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54628792267561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8283180 + ... + 13336740.

It is an arithmetic number, because the mean of its divisors is an integer number (775696499190).

Almost surely, 2^{54628792267560} 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 54628792267560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99289151896320).

54628792267560 is an abundant number, since it is smaller than the sum of its proper divisors (143949511525080).

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

54628792267560 is a wasteful number, since it uses less digits than its factorization.

54628792267560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054356 (or 5054352 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 69.

The spelling of 54628792267560 in words is "fifty-four trillion, six hundred twenty-eight billion, seven hundred ninety-two million, two hundred sixty-seven thousand, five hundred sixty".