20915679339072 has 448 divisors, whose sum is σ = 70882950781440. Its totient is φ = 5924096704512.

The previous prime is 20915679339053. The next prime is 20915679339083. The reversal of 20915679339072 is 27093397651902.

20915679339072 is a `hidden beast` number, since 2 + 0 + 9 + 156 + 7 + 93 + 390 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 1254455728 + ... + 1254472400.

It is an arithmetic number, because the mean of its divisors is an integer number (158220872280).

Almost surely, 2^{20915679339072} 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 20915679339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35441475390720).

20915679339072 is an abundant number, since it is smaller than the sum of its proper divisors (49967271442368).

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

20915679339072 is a wasteful number, since it uses less digits than its factorization.

20915679339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17595 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 20915679339072 in words is "twenty trillion, nine hundred fifteen billion, six hundred seventy-nine million, three hundred thirty-nine thousand, seventy-two".