54970924320 has 384 divisors, whose sum is σ = 209354906880. Its totient is φ = 13390479360.

The previous prime is 54970924289. The next prime is 54970924321. The reversal of 54970924320 is 2342907945.

54970924320 is a `hidden beast` number, since 549 + 70 + 9 + 2 + 4 + 32 + 0 = 666.

It is a super-3 number, since 3×54970924320³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54970924321) 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, 5442475 + ... + 5452565.

It is an arithmetic number, because the mean of its divisors is an integer number (545195070).

Almost surely, 2^54970924320 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 54970924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104677453440).

54970924320 is an abundant number, since it is smaller than the sum of its proper divisors (154383982560).

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

54970924320 is a wasteful number, since it uses less digits than its factorization.

54970924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 54970924320 in words is "fifty-four billion, nine hundred seventy million, nine hundred twenty-four thousand, three hundred twenty".