61325296057200 has 240 divisors, whose sum is σ = 224684562759680. Its totient is φ = 14006248565760.

The previous prime is 61325296057187. The next prime is 61325296057211. The reversal of 61325296057200 is 275069252316.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61325296057200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7889562 + ... + 13597638.

Almost surely, 2^{61325296057200} is an apocalyptic number.

61325296057200 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 61325296057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112342281379840).

61325296057200 is an abundant number, since it is smaller than the sum of its proper divisors (163359266702480).

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

61325296057200 is a wasteful number, since it uses less digits than its factorization.

61325296057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709384 (or 5709373 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 61325296057200 in words is "sixty-one trillion, three hundred twenty-five billion, two hundred ninety-six million, fifty-seven thousand, two hundred".