61131607200 has 504 divisors, whose sum is σ = 229882466268. Its totient is φ = 15855575040.

The previous prime is 61131607193. The next prime is 61131607211. The reversal of 61131607200 is 270613116.

61131607200 is a `hidden beast` number, since 6 + 1 + 1 + 31 + 607 + 20 + 0 = 666.

61131607200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32490783504 + 28640823696 = 180252^2 + 169236^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21576984 + ... + 21579816.

Almost surely, 2^61131607200 is an apocalyptic number.

61131607200 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 61131607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114941233134).

61131607200 is an abundant number, since it is smaller than the sum of its proper divisors (168750859068).

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

61131607200 is a wasteful number, since it uses less digits than its factorization.

61131607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 61131607200 in words is "sixty-one billion, one hundred thirty-one million, six hundred seven thousand, two hundred".