54919130112 has 440 divisors, whose sum is σ = 204490387200. Its totient is φ = 14263050240.

The previous prime is 54919130111. The next prime is 54919130117. The reversal of 54919130112 is 21103191945.

It is a super-2 number, since 2×54919130112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54919130111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6382389 + ... + 6390987.

It is an arithmetic number, because the mean of its divisors is an integer number (464750880).

Almost surely, 2^54919130112 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 54919130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102245193600).

54919130112 is an abundant number, since it is smaller than the sum of its proper divisors (149571257088).

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

54919130112 is a wasteful number, since it uses less digits than its factorization.

54919130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 54919130112 in words is "fifty-four billion, nine hundred nineteen million, one hundred thirty thousand, one hundred twelve".