225015751620 has 144 divisors (see below), whose sum is σ = 746368983360. Its totient is φ = 54419500800.

The previous prime is 225015751619. The next prime is 225015751633. The reversal of 225015751620 is 26157510522.

225015751620 is a `hidden beast` number, since 2 + 2 + 50 + 1 + 575 + 16 + 20 = 666.

It is a super-2 number, since 2×225015751620² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 698611 + ... + 968549.

It is an arithmetic number, because the mean of its divisors is an integer number (5183117940).

Almost surely, 2^225015751620 is an apocalyptic number.

225015751620 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 225015751620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373184491680).

225015751620 is an abundant number, since it is smaller than the sum of its proper divisors (521353231740).

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

225015751620 is a wasteful number, since it uses less digits than its factorization.

225015751620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270386 (or 270381 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 225015751620 in words is "two hundred twenty-five billion, fifteen million, seven hundred fifty-one thousand, six hundred twenty".