54982491832320 has 1088 divisors, whose sum is σ = 194038196260608. Its totient is φ = 13212057600000.

The previous prime is 54982491832277. The next prime is 54982491832369. The reversal of 54982491832320 is 2323819428945.

It is a super-2 number, since 2×54982491832320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195667230580 + ... + 195667230860.

Almost surely, 2^{54982491832320} 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 54982491832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97019098130304).

54982491832320 is an abundant number, since it is smaller than the sum of its proper divisors (139055704428288).

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

54982491832320 is a wasteful number, since it uses less digits than its factorization.

54982491832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 54982491832320 in words is "fifty-four trillion, nine hundred eighty-two billion, four hundred ninety-one million, eight hundred thirty-two thousand, three hundred twenty".