20239345376640 has 1280 divisors, whose sum is σ = 79101185264640. Its totient is φ = 4901791334400.

The previous prime is 20239345376633. The next prime is 20239345376713. The reversal of 20239345376640 is 4667354393202.

20239345376640 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 9 + 3 + 4 + 537 + 66 + 40 = 666.

It is a super-2 number, since 2×20239345376640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12485715030 + ... + 12485716650.

It is an arithmetic number, because the mean of its divisors is an integer number (61797800988).

Almost surely, 2^{20239345376640} is an apocalyptic number.

20239345376640 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 20239345376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39550592632320).

20239345376640 is an abundant number, since it is smaller than the sum of its proper divisors (58861839888000).

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

20239345376640 is a wasteful number, since it uses less digits than its factorization.

20239345376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 20239345376640 in words is "twenty trillion, two hundred thirty-nine billion, three hundred forty-five million, three hundred seventy-six thousand, six hundred forty".