61319172096 has 624 divisors, whose sum is σ = 226405006464. Its totient is φ = 16148201472.

The previous prime is 61319172007. The next prime is 61319172113. The reversal of 61319172096 is 69027191316.

61319172096 is a `hidden beast` number, since 613 + 1 + 9 + 1 + 7 + 20 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

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, 90574510 + ... + 90575186.

It is an arithmetic number, because the mean of its divisors is an integer number (362828536).

Almost surely, 2^61319172096 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 61319172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113202503232).

61319172096 is an abundant number, since it is smaller than the sum of its proper divisors (165085834368).

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

61319172096 is an equidigital number, since it uses as much as digits as its factorization.

61319172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 61319172096 in words is "sixty-one billion, three hundred nineteen million, one hundred seventy-two thousand, ninety-six".