61398620309520 has 480 divisors, whose sum is σ = 234084364725120. Its totient is φ = 14297309429760.

The previous prime is 61398620309423. The next prime is 61398620309563. The reversal of 61398620309520 is 2590302689316.

61398620309520 is a `hidden beast` number, since 6 + 1 + 3 + 9 + 8 + 620 + 3 + 0 + 9 + 5 + 2 + 0 = 666.

61398620309520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122637624 + ... + 123137256.

It is an arithmetic number, because the mean of its divisors is an integer number (487675759844).

Almost surely, 2^{61398620309520} is an apocalyptic number.

61398620309520 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 61398620309520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117042182362560).

61398620309520 is an abundant number, since it is smaller than the sum of its proper divisors (172685744415600).

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

61398620309520 is a wasteful number, since it uses less digits than its factorization.

61398620309520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500375 (or 500366 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 61398620309520 in words is "sixty-one trillion, three hundred ninety-eight billion, six hundred twenty million, three hundred nine thousand, five hundred twenty".