20951330400 has 2880 divisors, whose sum is σ = 114337681920. Its totient is φ = 3583180800.

The previous prime is 20951330399. The next prime is 20951330429. The reversal of 20951330400 is 403315902.

20951330400 is a `hidden beast` number, since 209 + 51 + 3 + 3 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1102701591 + ... + 1102701609.

It is an arithmetic number, because the mean of its divisors is an integer number (39700584).

20951330400 is a highly composite number, because it has more divisors than any smaller number.

20951330400 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^20951330400 is an apocalyptic number.

20951330400 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 20951330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57168840960).

20951330400 is an abundant number, since it is smaller than the sum of its proper divisors (93386351520).

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

20951330400 is a wasteful number, since it uses less digits than its factorization.

20951330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20951330400 in words is "twenty billion, nine hundred fifty-one million, three hundred thirty thousand, four hundred".