54640560000 has 640 divisors, whose sum is σ = 198606925440. Its totient is φ = 13224960000.

The previous prime is 54640559977. The next prime is 54640560011. The reversal of 54640560000 is 6504645.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×54640560000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 54640560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258959895 + ... + 258960105.

It is an arithmetic number, because the mean of its divisors is an integer number (310323321).

Almost surely, 2^54640560000 is an apocalyptic number.

54640560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54640560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99303462720).

54640560000 is an abundant number, since it is smaller than the sum of its proper divisors (143966365440).

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

54640560000 is a wasteful number, since it uses less digits than its factorization.

54640560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 54640560000 in words is "fifty-four billion, six hundred forty million, five hundred sixty thousand".