20976345600 has 480 divisors, whose sum is σ = 80353130880. Its totient is φ = 4724490240.

The previous prime is 20976345589. The next prime is 20976345617. The reversal of 20976345600 is 654367902.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19621866 + ... + 19622934.

It is an arithmetic number, because the mean of its divisors is an integer number (167402356).

Almost surely, 2^20976345600 is an apocalyptic number.

20976345600 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 20976345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176565440).

20976345600 is an abundant number, since it is smaller than the sum of its proper divisors (59376785280).

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

20976345600 is a wasteful number, since it uses less digits than its factorization.

20976345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 20976345600 in words is "twenty billion, nine hundred seventy-six million, three hundred forty-five thousand, six hundred".