20648390400 has 1296 divisors, whose sum is σ = 89674760448. Its totient is φ = 4644864000.

The previous prime is 20648390381. The next prime is 20648390401. The reversal of 20648390400 is 409384602.

It is a happy number.

20648390400 is a `hidden beast` number, since 2 + 0 + 648 + 3 + 9 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×20648390400² (a number of 21 digits) contains 22 as substring.

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 (20648390401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290822365 + ... + 290822435.

It is an arithmetic number, because the mean of its divisors is an integer number (69193488).

Almost surely, 2^20648390400 is an apocalyptic number.

20648390400 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 20648390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44837380224).

20648390400 is an abundant number, since it is smaller than the sum of its proper divisors (69026370048).

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

20648390400 is a wasteful number, since it uses less digits than its factorization.

20648390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20648390400 in words is "twenty billion, six hundred forty-eight million, three hundred ninety thousand, four hundred".