20392592613120 has 5184 divisors, whose sum is σ = 99824125040640. Its totient is φ = 3740861988864.

The previous prime is 20392592613119. The next prime is 20392592613139. The reversal of 20392592613120 is 2131629529302.

20392592613120 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 2 + 5 + 9 + 2 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×20392592613120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 229130254036 + ... + 229130254124.

It is an arithmetic number, because the mean of its divisors is an integer number (19256196960).

Almost surely, 2^{20392592613120} is an apocalyptic number.

20392592613120 is a gapful number since it is divisible by the number (20) 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 20392592613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49912062520320).

20392592613120 is an abundant number, since it is smaller than the sum of its proper divisors (79431532427520).

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

20392592613120 is a wasteful number, since it uses less digits than its factorization.

20392592613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 20392592613120 in words is "twenty trillion, three hundred ninety-two billion, five hundred ninety-two million, six hundred thirteen thousand, one hundred twenty".