61151808256 has 576 divisors, whose sum is σ = 173305036800. Its totient is φ = 20802355200.

The previous prime is 61151808173. The next prime is 61151808301. The reversal of 61151808256 is 65280815116.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267038350 + ... + 267038578.

It is an arithmetic number, because the mean of its divisors is an integer number (300876800).

Almost surely, 2^61151808256 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 61151808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86652518400).

61151808256 is an abundant number, since it is smaller than the sum of its proper divisors (112153228544).

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

61151808256 is a wasteful number, since it uses less digits than its factorization.

61151808256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 61151808256 in words is "sixty-one billion, one hundred fifty-one million, eight hundred eight thousand, two hundred fifty-six".