61019495097600 has 864 divisors, whose sum is σ = 227206490742784. Its totient is φ = 14318589542400.

The previous prime is 61019495097527. The next prime is 61019495097643. The reversal of 61019495097600 is 679059491016.

61019495097600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 518360349 + ... + 518478051.

Almost surely, 2^{61019495097600} is an apocalyptic number.

61019495097600 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 61019495097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113603245371392).

61019495097600 is an abundant number, since it is smaller than the sum of its proper divisors (166186995645184).

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

61019495097600 is a wasteful number, since it uses less digits than its factorization.

61019495097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117843 (or 117824 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 61019495097600 in words is "sixty-one trillion, nineteen billion, four hundred ninety-five million, ninety-seven thousand, six hundred".