54676576240 has 320 divisors, whose sum is σ = 152990208000. Its totient is φ = 17911296000.

The previous prime is 54676576237. The next prime is 54676576259. The reversal of 54676576240 is 4267567645.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 91279461 + ... + 91280059.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400).

Almost surely, 2^54676576240 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 54676576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495104000).

54676576240 is an abundant number, since it is smaller than the sum of its proper divisors (98313631760).

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

54676576240 is a wasteful number, since it uses less digits than its factorization.

54676576240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 54676576240 in words is "fifty-four billion, six hundred seventy-six million, five hundred seventy-six thousand, two hundred forty".