61353139132800 has 768 divisors, whose sum is σ = 225730282694400. Its totient is φ = 16273944576000.

The previous prime is 61353139132759. The next prime is 61353139132819. The reversal of 61353139132800 is 823193135316.

61353139132800 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 313 + 9 + 1 + 328 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33878043895 + ... + 33878045705.

It is an arithmetic number, because the mean of its divisors is an integer number (293919638925).

Almost surely, 2^{61353139132800} is an apocalyptic number.

61353139132800 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 61353139132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112865141347200).

61353139132800 is an abundant number, since it is smaller than the sum of its proper divisors (164377143561600).

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

61353139132800 is a wasteful number, since it uses less digits than its factorization.

61353139132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 61353139132800 in words is "sixty-one trillion, three hundred fifty-three billion, one hundred thirty-nine million, one hundred thirty-two thousand, eight hundred".