54861265108832 has 768 divisors, whose sum is σ = 153319790131200. Its totient is φ = 18687960023040.

The previous prime is 54861265108801. The next prime is 54861265108877. The reversal of 54861265108832 is 23880156216845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3599576732 + ... + 3599591972.

It is an arithmetic number, because the mean of its divisors is an integer number (199635143400).

Almost surely, 2^{54861265108832} is an apocalyptic number.

54861265108832 is a gapful number since it is divisible by the number (52) 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 54861265108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76659895065600).

54861265108832 is an abundant number, since it is smaller than the sum of its proper divisors (98458525022368).

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

54861265108832 is a wasteful number, since it uses less digits than its factorization.

54861265108832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 54861265108832 in words is "fifty-four trillion, eight hundred sixty-one billion, two hundred sixty-five million, one hundred eight thousand, eight hundred thirty-two".