85837966630000 has 200 divisors, whose sum is σ = 224151592629888. Its totient is φ = 31645451136000.

The previous prime is 85837966629991. The next prime is 85837966630021. The reversal of 85837966630000 is 3666973858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84384417 + ... + 85395583.

Almost surely, 2^{85837966630000} is an apocalyptic number.

85837966630000 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 85837966630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112075796314944).

85837966630000 is an abundant number, since it is smaller than the sum of its proper divisors (138313625999888).

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

85837966630000 is a wasteful number, since it uses less digits than its factorization.

85837966630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011861 (or 1011840 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 85837966630000 in words is "eighty-five trillion, eight hundred thirty-seven billion, nine hundred sixty-six million, six hundred thirty thousand".