20973689049600 has 2160 divisors, whose sum is σ = 90451188652968. Its totient is φ = 4624055009280.

The previous prime is 20973689049587. The next prime is 20973689049629. The reversal of 20973689049600 is 694098637902.

20973689049600 is a `hidden beast` number, since 2 + 0 + 97 + 368 + 90 + 49 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11651463403776 + 9322225645824 = 3413424^2 + 3053232^2 .

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 215 ways as a sum of consecutive naturals, for example, 28613490834 + ... + 28613491566.

Almost surely, 2^{20973689049600} is an apocalyptic number.

20973689049600 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 20973689049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45225594326484).

20973689049600 is an abundant number, since it is smaller than the sum of its proper divisors (69477499603368).

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

20973689049600 is a wasteful number, since it uses less digits than its factorization.

20973689049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 20973689049600 in words is "twenty trillion, nine hundred seventy-three billion, six hundred eighty-nine million, forty-nine thousand, six hundred".