20150275200 has 768 divisors, whose sum is σ = 77770022400. Its totient is φ = 4572057600.

The previous prime is 20150275199. The next prime is 20150275307. The reversal of 20150275200 is 257205102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 242774359 + ... + 242774441.

It is an arithmetic number, because the mean of its divisors is an integer number (101263050).

Almost surely, 2^20150275200 is an apocalyptic number.

20150275200 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 20150275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885011200).

20150275200 is an abundant number, since it is smaller than the sum of its proper divisors (57619747200).

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

20150275200 is a wasteful number, since it uses less digits than its factorization.

20150275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The spelling of 20150275200 in words is "twenty billion, one hundred fifty million, two hundred seventy-five thousand, two hundred".