272147560650 has 216 divisors, whose sum is σ = 851056805664. Its totient is φ = 62167694400.

The previous prime is 272147560631. The next prime is 272147560669. The reversal of 272147560650 is 56065741272.

272147560650 is a `hidden beast` number, since 2 + 7 + 21 + 4 + 7 + 560 + 65 + 0 = 666.

272147560650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272147560631) and next prime (272147560669).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 272147560596 and 272147560605.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 55188685 + ... + 55193615.

It is an arithmetic number, because the mean of its divisors is an integer number (3940077804).

Almost surely, 2^272147560650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272147560650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425528402832).

272147560650 is an abundant number, since it is smaller than the sum of its proper divisors (578909245014).

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

272147560650 is a wasteful number, since it uses less digits than its factorization.

272147560650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 272147560650 in words is "two hundred seventy-two billion, one hundred forty-seven million, five hundred sixty thousand, six hundred fifty".