20357686800 has 960 divisors, whose sum is σ = 86351616000. Its totient is φ = 4499712000.

The previous prime is 20357686799. The next prime is 20357686849. The reversal of 20357686800 is 868675302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65458645 + ... + 65458955.

It is an arithmetic number, because the mean of its divisors is an integer number (89949600).

Almost surely, 2^20357686800 is an apocalyptic number.

20357686800 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 20357686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43175808000).

20357686800 is an abundant number, since it is smaller than the sum of its proper divisors (65993929200).

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

20357686800 is a wasteful number, since it uses less digits than its factorization.

20357686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

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

The spelling of 20357686800 in words is "twenty billion, three hundred fifty-seven million, six hundred eighty-six thousand, eight hundred".