272946168951552 has 576 divisors, whose sum is σ = 851358379576320. Its totient is φ = 86086066176000.

The previous prime is 272946168951493. The next prime is 272946168951557. The reversal of 272946168951552 is 255159861649272.

272946168951552 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 4 + 6 + 1 + 68 + 9 + 5 + 1 + 552 = 666.

272946168951552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×272946168951552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (272946168951557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19059148552 + ... + 19059162872.

It is an arithmetic number, because the mean of its divisors is an integer number (1478052742320).

Almost surely, 2^{272946168951552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272946168951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425679189788160).

272946168951552 is an abundant number, since it is smaller than the sum of its proper divisors (578412210624768).

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

272946168951552 is a wasteful number, since it uses less digits than its factorization.

272946168951552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15657 (or 15637 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 272946168951552 in words is "two hundred seventy-two trillion, nine hundred forty-six billion, one hundred sixty-eight million, nine hundred fifty-one thousand, five hundred fifty-two".