53665597440000 has 4200 divisors, whose sum is σ = 250620092898560. Its totient is φ = 11179524096000.

The previous prime is 53665597439983. The next prime is 53665597440097. The reversal of 53665597440000 is 4479556635.

53665597440000 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 5 + 597 + 4 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 679311359961 + ... + 679311360039.

Almost surely, 2^{53665597440000} is an apocalyptic number.

53665597440000 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 53665597440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125310046449280).

53665597440000 is an abundant number, since it is smaller than the sum of its proper divisors (196954495458560).

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

53665597440000 is an frugal number, since it uses more digits than its factorization.

53665597440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 53665597440000 in words is "fifty-three trillion, six hundred sixty-five billion, five hundred ninety-seven million, four hundred forty thousand".