61157800224 has 384 divisors, whose sum is σ = 188886297600. Its totient is φ = 19229736960.

The previous prime is 61157800217. The next prime is 61157800243. The reversal of 61157800224 is 42200875116.

61157800224 is a `hidden beast` number, since 61 + 1 + 578 + 0 + 0 + 2 + 24 = 666.

61157800224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181476984 + ... + 181477320.

It is an arithmetic number, because the mean of its divisors is an integer number (491891400).

Almost surely, 2^61157800224 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 61157800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94443148800).

61157800224 is an abundant number, since it is smaller than the sum of its proper divisors (127728497376).

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

61157800224 is a wasteful number, since it uses less digits than its factorization.

61157800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 61157800224 in words is "sixty-one billion, one hundred fifty-seven million, eight hundred thousand, two hundred twenty-four".