53670199601664 has 800 divisors, whose sum is σ = 173283016558080. Its totient is φ = 16401758791680.

The previous prime is 53670199601647. The next prime is 53670199601693. The reversal of 53670199601664 is 46610699107635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

53670199601664 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 0 + 19 + 9 + 601 + 6 + 6 + 4 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 53670199601664 = 4712³ + 37696³ = 21204³ + 35340³.

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, 1731296761329 + ... + 1731296761359.

Almost surely, 2^{53670199601664} is an apocalyptic number.

53670199601664 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 53670199601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86641508279040).

53670199601664 is an abundant number, since it is smaller than the sum of its proper divisors (119612816956416).

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

53670199601664 is an frugal number, since it uses more digits than its factorization.

53670199601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 53670199601664 in words is "fifty-three trillion, six hundred seventy billion, one hundred ninety-nine million, six hundred one thousand, six hundred sixty-four".