20253432086400 has 384 divisors, whose sum is σ = 67349689344000. Its totient is φ = 5349249884160.

The previous prime is 20253432086387. The next prime is 20253432086417. The reversal of 20253432086400 is 468023435202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20253432086400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730286934 + ... + 730314666.

It is an arithmetic number, because the mean of its divisors is an integer number (175389816000).

Almost surely, 2^{20253432086400} is an apocalyptic number.

20253432086400 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 20253432086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33674844672000).

20253432086400 is an abundant number, since it is smaller than the sum of its proper divisors (47096257257600).

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

20253432086400 is a wasteful number, since it uses less digits than its factorization.

20253432086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28486 (or 28469 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 20253432086400 in words is "twenty trillion, two hundred fifty-three billion, four hundred thirty-two million, eighty-six thousand, four hundred".