61820139225600 has 1080 divisors, whose sum is σ = 258440024494080. Its totient is φ = 14070887792640.

The previous prime is 61820139225583. The next prime is 61820139225613. The reversal of 61820139225600 is 652293102816.

61820139225600 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 0 + 1 + 39 + 2 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×61820139225600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1349084289 + ... + 1349130111.

It is an arithmetic number, because the mean of its divisors is an integer number (239296318976).

Almost surely, 2^{61820139225600} is an apocalyptic number.

61820139225600 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 61820139225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129220012247040).

61820139225600 is an abundant number, since it is smaller than the sum of its proper divisors (196619885268480).

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

61820139225600 is a wasteful number, since it uses less digits than its factorization.

61820139225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46110 (or 46079 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61820139225600 in words is "sixty-one trillion, eight hundred twenty billion, one hundred thirty-nine million, two hundred twenty-five thousand, six hundred".