61096912800 has 288 divisors, whose sum is σ = 247943130624. Its totient is φ = 12695424000.

The previous prime is 61096912729. The next prime is 61096912819. The reversal of 61096912800 is 821969016.

61096912800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19495 + ... + 350105.

It is an arithmetic number, because the mean of its divisors is an integer number (860913648).

Almost surely, 2^61096912800 is an apocalyptic number.

61096912800 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 61096912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123971565312).

61096912800 is an abundant number, since it is smaller than the sum of its proper divisors (186846217824).

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

61096912800 is a wasteful number, since it uses less digits than its factorization.

61096912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330652 (or 330639 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 61096912800 in words is "sixty-one billion, ninety-six million, nine hundred twelve thousand, eight hundred".