165420261504000 has 1408 divisors, whose sum is σ = 626262677913600. Its totient is φ = 43044596121600.

The previous prime is 165420261503999. The next prime is 165420261504053. The reversal of 165420261504000 is 405162024561.

165420261504000 is a `hidden beast` number, since 1 + 6 + 542 + 0 + 2 + 61 + 50 + 4 + 0 + 0 + 0 = 666.

165420261504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62211454671 + ... + 62211457329.

Almost surely, 2^{165420261504000} is an apocalyptic number.

165420261504000 is a gapful number since it is divisible by the number (10) 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 165420261504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313131338956800).

165420261504000 is an abundant number, since it is smaller than the sum of its proper divisors (460842416409600).

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

165420261504000 is a wasteful number, since it uses less digits than its factorization.

165420261504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 165420261504000 in words is "one hundred sixty-five trillion, four hundred twenty billion, two hundred sixty-one million, five hundred four thousand".