861020738697600 has 2304 divisors, whose sum is σ = 3597330156134400. Its totient is φ = 200631051878400.

The previous prime is 861020738697563. The next prime is 861020738697631. The reversal of 861020738697600 is 6796837020168.

861020738697600 is a `hidden beast` number, since 8 + 6 + 10 + 2 + 0 + 7 + 3 + 8 + 6 + 9 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32576156385 + ... + 32576182815.

It is an arithmetic number, because the mean of its divisors is an integer number (1561341213600).

Almost surely, 2^{861020738697600} is an apocalyptic number.

861020738697600 is a gapful number since it is divisible by the number (80) 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 861020738697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798665078067200).

861020738697600 is an abundant number, since it is smaller than the sum of its proper divisors (2736309417436800).

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

861020738697600 is a wasteful number, since it uses less digits than its factorization.

861020738697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26610 (or 26574 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 861020738697600 in words is "eight hundred sixty-one trillion, twenty billion, seven hundred thirty-eight million, six hundred ninety-seven thousand, six hundred".