52640164420000 has 480 divisors, whose sum is σ = 141891916852224. Its totient is φ = 19131033600000.

The previous prime is 52640164419991. The next prime is 52640164420003. The reversal of 52640164420000 is 2446104625.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (52640164420003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4437334069 + ... + 4437345931.

Almost surely, 2^{52640164420000} is an apocalyptic number.

52640164420000 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 52640164420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70945958426112).

52640164420000 is an abundant number, since it is smaller than the sum of its proper divisors (89251752432224).

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

52640164420000 is a wasteful number, since it uses less digits than its factorization.

52640164420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 52640164420000 in words is "fifty-two trillion, six hundred forty billion, one hundred sixty-four million, four hundred twenty thousand".