54602978976 has 288 divisors, whose sum is σ = 197703192960. Its totient is φ = 13904013312.

The previous prime is 54602978879. The next prime is 54602978987. The reversal of 54602978976 is 67987920645.

54602978976 is a `hidden beast` number, since 5 + 460 + 2 + 97 + 89 + 7 + 6 = 666.

54602978976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724111 + ... + 795953.

It is an arithmetic number, because the mean of its divisors is an integer number (686469420).

Almost surely, 2^54602978976 is an apocalyptic number.

54602978976 is a gapful number since it is divisible by the number (56) 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 54602978976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98851596480).

54602978976 is an abundant number, since it is smaller than the sum of its proper divisors (143100213984).

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

54602978976 is a wasteful number, since it uses less digits than its factorization.

54602978976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71908 (or 71897 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 54602978976 in words is "fifty-four billion, six hundred two million, nine hundred seventy-eight thousand, nine hundred seventy-six".