20753676099072 has 1280 divisors, whose sum is σ = 76980867194880. Its totient is φ = 5385791471616.

The previous prime is 20753676099059. The next prime is 20753676099103. The reversal of 20753676099072 is 27099067635702.

20753676099072 is a `hidden beast` number, since 2 + 0 + 7 + 536 + 7 + 6 + 0 + 9 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×20753676099072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5644185298 + ... + 5644188974.

It is an arithmetic number, because the mean of its divisors is an integer number (60141302496).

Almost surely, 2^{20753676099072} 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 20753676099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38490433597440).

20753676099072 is an abundant number, since it is smaller than the sum of its proper divisors (56227191095808).

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

20753676099072 is a wasteful number, since it uses less digits than its factorization.

20753676099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 20753676099072 in words is "twenty trillion, seven hundred fifty-three billion, six hundred seventy-six million, ninety-nine thousand, seventy-two".