20879510400 has 1536 divisors, whose sum is σ = 97136640000. Its totient is φ = 4269957120.

The previous prime is 20879510371. The next prime is 20879510401. The reversal of 20879510400 is 401597802.

20879510400 is a `hidden beast` number, since 20 + 87 + 9 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879510401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264297561 + ... + 264297639.

It is an arithmetic number, because the mean of its divisors is an integer number (63240000).

Almost surely, 2^20879510400 is an apocalyptic number.

20879510400 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 20879510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320000).

20879510400 is an abundant number, since it is smaller than the sum of its proper divisors (76257129600).

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

20879510400 is a wasteful number, since it uses less digits than its factorization.

20879510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 20879510400 in words is "twenty billion, eight hundred seventy-nine million, five hundred ten thousand, four hundred".