61577220096 has 156 divisors (see below), whose sum is σ = 203278602592. Its totient is φ = 17593417728.

The previous prime is 61577220091. The next prime is 61577220119. The reversal of 61577220096 is 69002277516.

61577220096 is a `hidden beast` number, since 615 + 7 + 7 + 2 + 20 + 0 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61577220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138735 + ... + 377361.

Almost surely, 2^61577220096 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 61577220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101639301296).

61577220096 is an abundant number, since it is smaller than the sum of its proper divisors (141701382496).

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

61577220096 is a wasteful number, since it uses less digits than its factorization.

61577220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238664 (or 238639 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 61577220096 in words is "sixty-one billion, five hundred seventy-seven million, two hundred twenty thousand, ninety-six".