54015964763904 has 1152 divisors, whose sum is σ = 192334683340800. Its totient is φ = 14737483284480.

The previous prime is 54015964763863. The next prime is 54015964763909. The reversal of 54015964763904 is 40936746951045.

It is a happy number.

54015964763904 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 596 + 4 + 7 + 6 + 39 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×54015964763904² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54015964763909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6821054857 + ... + 6821062775.

It is an arithmetic number, because the mean of its divisors is an integer number (166957190400).

Almost surely, 2^{54015964763904} is an apocalyptic number.

54015964763904 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 54015964763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96167341670400).

54015964763904 is an abundant number, since it is smaller than the sum of its proper divisors (138318718576896).

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

54015964763904 is a wasteful number, since it uses less digits than its factorization.

54015964763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 54015964763904 in words is "fifty-four trillion, fifteen billion, nine hundred sixty-four million, seven hundred sixty-three thousand, nine hundred four".