61154407272 has 192 divisors, whose sum is σ = 180124560000. Its totient is φ = 17250153984.

The previous prime is 61154407267. The next prime is 61154407297. The reversal of 61154407272 is 27270445116.

61154407272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61154407272.

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, 44735533 + ... + 44736899.

It is an arithmetic number, because the mean of its divisors is an integer number (938148750).

Almost surely, 2^61154407272 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 61154407272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90062280000).

61154407272 is an abundant number, since it is smaller than the sum of its proper divisors (118970152728).

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

61154407272 is a wasteful number, since it uses less digits than its factorization.

61154407272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 61154407272 in words is "sixty-one billion, one hundred fifty-four million, four hundred seven thousand, two hundred seventy-two".