20025072000 has 384 divisors, whose sum is σ = 73164967200. Its totient is φ = 5247283200.

The previous prime is 20025071999. The next prime is 20025072029. The reversal of 20025072000 is 27052002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8494822 + ... + 8497178.

Almost surely, 2^20025072000 is an apocalyptic number.

20025072000 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 20025072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36582483600).

20025072000 is an abundant number, since it is smaller than the sum of its proper divisors (53139895200).

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

20025072000 is a wasteful number, since it uses less digits than its factorization.

20025072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The spelling of 20025072000 in words is "twenty billion, twenty-five million, seventy-two thousand".