20753149630080 has 1536 divisors, whose sum is σ = 81362928107520. Its totient is φ = 4480435814400.

The previous prime is 20753149629991. The next prime is 20753149630099. The reversal of 20753149630080 is 8003694135702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22780624825 + ... + 22780625735.

It is an arithmetic number, because the mean of its divisors is an integer number (52970656320).

It is a 1-persistent number, because it is pandigital, but 2⋅20753149630080 = 41506299260160 is not.

Almost surely, 2^{20753149630080} is an apocalyptic number.

20753149630080 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 20753149630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40681464053760).

20753149630080 is an abundant number, since it is smaller than the sum of its proper divisors (60609778477440).

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

20753149630080 is a wasteful number, since it uses less digits than its factorization.

20753149630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20753149630080 in words is "twenty trillion, seven hundred fifty-three billion, one hundred forty-nine million, six hundred thirty thousand, eighty".