61182094272 has 224 divisors, whose sum is σ = 177815077440. Its totient is φ = 18451169280.

The previous prime is 61182094249. The next prime is 61182094279. The reversal of 61182094272 is 27249028116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61182094279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59227068 + ... + 59228100.

It is an arithmetic number, because the mean of its divisors is an integer number (793817310).

Almost surely, 2^61182094272 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 61182094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88907538720).

61182094272 is an abundant number, since it is smaller than the sum of its proper divisors (116632983168).

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

61182094272 is a wasteful number, since it uses less digits than its factorization.

61182094272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 61182094272 in words is "sixty-one billion, one hundred eighty-two million, ninety-four thousand, two hundred seventy-two".