61893796823040 has 2304 divisors, whose sum is σ = 258743949004800. Its totient is φ = 12350782439424.

The previous prime is 61893796822999. The next prime is 61893796823071. The reversal of 61893796823040 is 4032869739816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 695435919316 + ... + 695435919404.

It is an arithmetic number, because the mean of its divisors is an integer number (112302061200).

Almost surely, 2^{61893796823040} is an apocalyptic number.

61893796823040 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 61893796823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129371974502400).

61893796823040 is an abundant number, since it is smaller than the sum of its proper divisors (196850152181760).

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

61893796823040 is an frugal number, since it uses more digits than its factorization.

61893796823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 61893796823040 in words is "sixty-one trillion, eight hundred ninety-three billion, seven hundred ninety-six million, eight hundred twenty-three thousand, forty".