20953532752416 has 480 divisors, whose sum is σ = 67560295017600. Its totient is φ = 6318058475520.

The previous prime is 20953532752403. The next prime is 20953532752489. The reversal of 20953532752416 is 61425723535902.

20953532752416 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 3 + 532 + 75 + 24 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5119356066 + ... + 5119360158.

It is an arithmetic number, because the mean of its divisors is an integer number (140750614620).

Almost surely, 2^{20953532752416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20953532752416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33780147508800).

20953532752416 is an abundant number, since it is smaller than the sum of its proper divisors (46606762265184).

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

20953532752416 is a wasteful number, since it uses less digits than its factorization.

20953532752416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 20953532752416 in words is "twenty trillion, nine hundred fifty-three billion, five hundred thirty-two million, seven hundred fifty-two thousand, four hundred sixteen".