54701921456 has 120 divisors (see below), whose sum is σ = 132887588400. Its totient is φ = 21621551616.

The previous prime is 54701921431. The next prime is 54701921473. The reversal of 54701921456 is 65412910745.

54701921456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21391730 + ... + 21394286.

It is an arithmetic number, because the mean of its divisors is an integer number (1107396570).

Almost surely, 2^54701921456 is an apocalyptic number.

54701921456 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 54701921456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66443794200).

54701921456 is an abundant number, since it is smaller than the sum of its proper divisors (78185666944).

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

54701921456 is a wasteful number, since it uses less digits than its factorization.

54701921456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 54701921456 in words is "fifty-four billion, seven hundred one million, nine hundred twenty-one thousand, four hundred fifty-six".