61980547200 has 1152 divisors, whose sum is σ = 253308072960. Its totient is φ = 13178880000.

The previous prime is 61980547169. The next prime is 61980547217. The reversal of 61980547200 is 274508916.

It is a super-2 number, since 2×61980547200² (a number of 22 digits) contains 22 as substring.

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, 410467125 + ... + 410467275.

It is an arithmetic number, because the mean of its divisors is an integer number (219885480).

Almost surely, 2^61980547200 is an apocalyptic number.

61980547200 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 61980547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126654036480).

61980547200 is an abundant number, since it is smaller than the sum of its proper divisors (191327525760).

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

61980547200 is a wasteful number, since it uses less digits than its factorization.

61980547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 61980547200 in words is "sixty-one billion, nine hundred eighty million, five hundred forty-seven thousand, two hundred".