61331119200 has 864 divisors, whose sum is σ = 251143925760. Its totient is φ = 13959475200.

The previous prime is 61331119193. The next prime is 61331119219. The reversal of 61331119200 is 291113316.

61331119200 is a `hidden beast` number, since 613 + 3 + 11 + 19 + 20 + 0 = 666.

61331119200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66736341 + ... + 66737259.

It is an arithmetic number, because the mean of its divisors is an integer number (290675840).

Almost surely, 2^61331119200 is an apocalyptic number.

61331119200 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 61331119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125571962880).

61331119200 is an abundant number, since it is smaller than the sum of its proper divisors (189812806560).

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

61331119200 is a wasteful number, since it uses less digits than its factorization.

61331119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 61331119200 in words is "sixty-one billion, three hundred thirty-one million, one hundred nineteen thousand, two hundred".