61096245840 has 720 divisors, whose sum is σ = 255628638720. Its totient is φ = 13507845120.

The previous prime is 61096245839. The next prime is 61096245851. The reversal of 61096245840 is 4854269016.

61096245840 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 62 + 4 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 29528326 + ... + 29530394.

It is an arithmetic number, because the mean of its divisors is an integer number (355039776).

Almost surely, 2^61096245840 is an apocalyptic number.

61096245840 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 61096245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127814319360).

61096245840 is an abundant number, since it is smaller than the sum of its proper divisors (194532392880).

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

61096245840 is a wasteful number, since it uses less digits than its factorization.

61096245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 61096 and 245840, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 61096245840 in words is "sixty-one billion, ninety-six million, two hundred forty-five thousand, eight hundred forty".