61503339844800 has 504 divisors, whose sum is σ = 250797779852256. Its totient is φ = 14003200327680.

The previous prime is 61503339844799. The next prime is 61503339844813. The reversal of 61503339844800 is 844893330516.

61503339844800 is a `hidden beast` number, since 6 + 1 + 50 + 3 + 3 + 39 + 84 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24718534 + ... + 27092666.

It is an arithmetic number, because the mean of its divisors is an integer number (497614642564).

Almost surely, 2^{61503339844800} is an apocalyptic number.

61503339844800 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 61503339844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125398889926128).

61503339844800 is an abundant number, since it is smaller than the sum of its proper divisors (189294440007456).

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

61503339844800 is a wasteful number, since it uses less digits than its factorization.

61503339844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374425 (or 2374407 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 61503339844800 in words is "sixty-one trillion, five hundred three billion, three hundred thirty-nine million, eight hundred forty-four thousand, eight hundred".