61891104315840 has 224 divisors, whose sum is σ = 200700303565824. Its totient is φ = 16151923445760.

The previous prime is 61891104315809. The next prime is 61891104315871. The reversal of 61891104315840 is 4851340119816.

It is an interprime number because it is at equal distance from previous prime (61891104315809) and next prime (61891104315871).

It is a super-3 number, since 3×61891104315840³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706580527 + ... + 706668113.

Almost surely, 2^{61891104315840} is an apocalyptic number.

61891104315840 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 61891104315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100350151782912).

61891104315840 is an abundant number, since it is smaller than the sum of its proper divisors (138809199249984).

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

61891104315840 is a wasteful number, since it uses less digits than its factorization.

61891104315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103315 (or 103305 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 61891104315840 in words is "sixty-one trillion, eight hundred ninety-one billion, one hundred four million, three hundred fifteen thousand, eight hundred forty".