61159222800 has 480 divisors, whose sum is σ = 238878460800. Its totient is φ = 14768732160.

The previous prime is 61159222769. The next prime is 61159222897. The reversal of 61159222800 is 822295116.

61159222800 is a `hidden beast` number, since 61 + 1 + 592 + 2 + 2 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 7437091 + ... + 7445309.

It is an arithmetic number, because the mean of its divisors is an integer number (497663460).

Almost surely, 2^61159222800 is an apocalyptic number.

61159222800 is a gapful number since it is divisible by the number (60) 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 61159222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439230400).

61159222800 is an abundant number, since it is smaller than the sum of its proper divisors (177719238000).

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

61159222800 is a wasteful number, since it uses less digits than its factorization.

61159222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61159222800 in words is "sixty-one billion, one hundred fifty-nine million, two hundred twenty-two thousand, eight hundred".