54056640000 has 400 divisors, whose sum is σ = 196353146880. Its totient is φ = 13102080000.

The previous prime is 54056639929. The next prime is 54056640007. The reversal of 54056640000 is 4665045.

It is a tau number, because it is divible by the number of its divisors (400).

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 54056640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54056640007) 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, 10557441 + ... + 10562559.

Almost surely, 2^54056640000 is an apocalyptic number.

54056640000 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 54056640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98176573440).

54056640000 is an abundant number, since it is smaller than the sum of its proper divisors (142296506880).

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

54056640000 is an equidigital number, since it uses as much as digits as its factorization.

54056640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5140 counting only the distinct ones).

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

The spelling of 54056640000 in words is "fifty-four billion, fifty-six million, six hundred forty thousand".