54617561940 has 192 divisors, whose sum is σ = 157452970752. Its totient is φ = 14141952000.

The previous prime is 54617561917. The next prime is 54617561941. The reversal of 54617561940 is 4916571645.

It is a self number, because there is not a number n which added to its sum of digits gives 54617561940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54617561941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146427594 + ... + 146427966.

It is an arithmetic number, because the mean of its divisors is an integer number (820067556).

Almost surely, 2^54617561940 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 54617561940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78726485376).

54617561940 is an abundant number, since it is smaller than the sum of its proper divisors (102835408812).

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

54617561940 is a wasteful number, since it uses less digits than its factorization.

54617561940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 54617561940 in words is "fifty-four billion, six hundred seventeen million, five hundred sixty-one thousand, nine hundred forty".