20357953249920 has 3072 divisors, whose sum is σ = 87872516928000. Its totient is φ = 3955123814400.

The previous prime is 20357953249871. The next prime is 20357953249951. The reversal of 20357953249920 is 2994235975302.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 383 ways as a sum of consecutive naturals, for example, 39995978626 + ... + 39995979134.

Almost surely, 2^{20357953249920} is an apocalyptic number.

20357953249920 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 20357953249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43936258464000).

20357953249920 is an abundant number, since it is smaller than the sum of its proper divisors (67514563678080).

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

20357953249920 is a wasteful number, since it uses less digits than its factorization.

20357953249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 20357953249920 in words is "twenty trillion, three hundred fifty-seven billion, nine hundred fifty-three million, two hundred forty-nine thousand, nine hundred twenty".