20315748801600 has 630 divisors, whose sum is σ = 86867541264570. Its totient is φ = 4643598274560.

The previous prime is 20315748801599. The next prime is 20315748801707. The reversal of 20315748801600 is 610884751302.

20315748801600 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 7 + 488 + 0 + 160 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2681393150016 + 17634355651584 = 1637496^2 + 4199328^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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 89 ways as a sum of consecutive naturals, for example, 4750836 + ... + 7949964.

Almost surely, 2^{20315748801600} is an apocalyptic number.

20315748801600 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 20315748801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43433770632285).

20315748801600 is an abundant number, since it is smaller than the sum of its proper divisors (66551792462970).

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

20315748801600 is a wasteful number, since it uses less digits than its factorization.

20315748801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199177 (or 3199146 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20315748801600 in words is "twenty trillion, three hundred fifteen billion, seven hundred forty-eight million, eight hundred one thousand, six hundred".