20145715200 has 1152 divisors, whose sum is σ = 85307040000. Its totient is φ = 4618321920.

The previous prime is 20145715171. The next prime is 20145715231. The reversal of 20145715200 is 251754102.

20145715200 is a `hidden beast` number, since 2 + 0 + 1 + 457 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20145715200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341452771 + ... + 341452829.

It is an arithmetic number, because the mean of its divisors is an integer number (74051250).

Almost surely, 2^20145715200 is an apocalyptic number.

20145715200 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 20145715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520000).

20145715200 is an abundant number, since it is smaller than the sum of its proper divisors (65161324800).

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

20145715200 is a wasteful number, since it uses less digits than its factorization.

20145715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 20145715200 in words is "twenty billion, one hundred forty-five million, seven hundred fifteen thousand, two hundred".