61965893682000 has 960 divisors, whose sum is σ = 270271137397248. Its totient is φ = 12854983680000.

The previous prime is 61965893681999. The next prime is 61965893682059. The reversal of 61965893682000 is 28639856916.

61965893682000 is a `hidden beast` number, since 6 + 1 + 9 + 65 + 8 + 9 + 368 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 855125770 + ... + 855198230.

Almost surely, 2^{61965893682000} is an apocalyptic number.

61965893682000 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 61965893682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135135568698624).

61965893682000 is an abundant number, since it is smaller than the sum of its proper divisors (208305243715248).

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

61965893682000 is a wasteful number, since it uses less digits than its factorization.

61965893682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73125 (or 73106 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 61965893682000 in words is "sixty-one trillion, nine hundred sixty-five billion, eight hundred ninety-three million, six hundred eighty-two thousand".