20495786400 has 864 divisors, whose sum is σ = 81894758400. Its totient is φ = 4982860800.

The previous prime is 20495786383. The next prime is 20495786407. The reversal of 20495786400 is 468759402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20495786407) 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, 114501511 + ... + 114501689.

It is an arithmetic number, because the mean of its divisors is an integer number (94785600).

Almost surely, 2^20495786400 is an apocalyptic number.

20495786400 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 20495786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

20495786400 is an abundant number, since it is smaller than the sum of its proper divisors (61398972000).

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

20495786400 is a wasteful number, since it uses less digits than its factorization.

20495786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20495786400 in words is "twenty billion, four hundred ninety-five million, seven hundred eighty-six thousand, four hundred".