54982400901120 has 4096 divisors, whose sum is σ = 259755658444800. Its totient is φ = 10701766656000.

The previous prime is 54982400901091. The next prime is 54982400901133. The reversal of 54982400901120 is 2110900428945.

It is a happy number.

54982400901120 is a `hidden beast` number, since 5 + 49 + 8 + 2 + 400 + 90 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432932290497 + ... + 432932290623.

It is an arithmetic number, because the mean of its divisors is an integer number (63416908800).

Almost surely, 2^{54982400901120} 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 54982400901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129877829222400).

54982400901120 is an abundant number, since it is smaller than the sum of its proper divisors (204773257543680).

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

54982400901120 is a wasteful number, since it uses less digits than its factorization.

54982400901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 54982400901120 in words is "fifty-four trillion, nine hundred eighty-two billion, four hundred million, nine hundred one thousand, one hundred twenty".