20253621024000 has 2880 divisors, whose sum is σ = 98239182193152. Its totient is φ = 4021125120000.

The previous prime is 20253621023981. The next prime is 20253621024023. The reversal of 20253621024000 is 42012635202.

It is a happy number.

20253621024000 is a `hidden beast` number, since 2 + 0 + 253 + 6 + 2 + 1 + 0 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4009821475 + ... + 4009826525.

Almost surely, 2^{20253621024000} is an apocalyptic number.

20253621024000 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 20253621024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49119591096576).

20253621024000 is an abundant number, since it is smaller than the sum of its proper divisors (77985561169152).

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

20253621024000 is a wasteful number, since it uses less digits than its factorization.

20253621024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20253621024000 its reverse (42012635202), we get a palindrome (20295633659202).

The spelling of 20253621024000 in words is "twenty trillion, two hundred fifty-three billion, six hundred twenty-one million, twenty-four thousand".