54315653882880 has 352 divisors, whose sum is σ = 187121379312000. Its totient is φ = 13367672045568.

The previous prime is 54315653882767. The next prime is 54315653882881. The reversal of 54315653882880 is 8828835651345.

It is not an unprimeable number, because it can be changed into a prime (54315653882881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329648696 + ... + 1329689544.

Almost surely, 2^{54315653882880} 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 54315653882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93560689656000).

54315653882880 is an abundant number, since it is smaller than the sum of its proper divisors (132805725429120).

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

54315653882880 is a wasteful number, since it uses less digits than its factorization.

54315653882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47549 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 66.

The spelling of 54315653882880 in words is "fifty-four trillion, three hundred fifteen billion, six hundred fifty-three million, eight hundred eighty-two thousand, eight hundred eighty".