20254020993024 has 1152 divisors, whose sum is σ = 72305498603520. Its totient is φ = 4897332264960.

The previous prime is 20254020992981. The next prime is 20254020993053. The reversal of 20254020993024 is 42039902045202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653355515889 + ... + 653355515919.

It is an arithmetic number, because the mean of its divisors is an integer number (62765189760).

Almost surely, 2^{20254020993024} is an apocalyptic number.

20254020993024 is a gapful number since it is divisible by the number (24) 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 20254020993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36152749301760).

20254020993024 is an abundant number, since it is smaller than the sum of its proper divisors (52051477610496).

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

20254020993024 is an frugal number, since it uses more digits than its factorization.

20254020993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 20254020993024 in words is "twenty trillion, two hundred fifty-four billion, twenty million, nine hundred ninety-three thousand, twenty-four".