53357357297664 has 1456 divisors, whose sum is σ = 189941819808000. Its totient is φ = 14969597755392.

The previous prime is 53357357297623. The next prime is 53357357297683. The reversal of 53357357297664 is 46679275375335.

53357357297664 is a `hidden beast` number, since 53 + 357 + 35 + 72 + 9 + 76 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53357357297592 and 53357357297601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 60427357767 + ... + 60427358649.

Almost surely, 2^{53357357297664} is an apocalyptic number.

53357357297664 is a gapful number since it is divisible by the number (54) 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 53357357297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94970909904000).

53357357297664 is an abundant number, since it is smaller than the sum of its proper divisors (136584462510336).

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

53357357297664 is an frugal number, since it uses more digits than its factorization.

53357357297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 954 counting only the distinct ones).

The product of its digits is 3000564000, while the sum is 72.

The spelling of 53357357297664 in words is "fifty-three trillion, three hundred fifty-seven billion, three hundred fifty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".