61609100256 has 576 divisors, whose sum is σ = 210812958720. Its totient is φ = 17503464960.

The previous prime is 61609100251. The next prime is 61609100263. The reversal of 61609100256 is 65200190616.

61609100256 is a `hidden beast` number, since 616 + 0 + 9 + 10 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61609100256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61609100251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271405615 + ... + 271405841.

It is an arithmetic number, because the mean of its divisors is an integer number (365994720).

Almost surely, 2^61609100256 is an apocalyptic number.

61609100256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61609100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105406479360).

61609100256 is an abundant number, since it is smaller than the sum of its proper divisors (149203858464).

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

61609100256 is a wasteful number, since it uses less digits than its factorization.

61609100256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 61609100256 in words is "sixty-one billion, six hundred nine million, one hundred thousand, two hundred fifty-six".