81952350690000 has 400 divisors, whose sum is σ = 302659831451648. Its totient is φ = 18712548288000.

The previous prime is 81952350689981. The next prime is 81952350690019. The reversal of 81952350690000 is 9605325918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81952350689981) and next prime (81952350690019).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×81952350690000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202868217 + ... + 203271783.

Almost surely, 2^{81952350690000} is an apocalyptic number.

81952350690000 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 81952350690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151329915725824).

81952350690000 is an abundant number, since it is smaller than the sum of its proper divisors (220707480761648).

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

81952350690000 is a wasteful number, since it uses less digits than its factorization.

81952350690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404572 (or 404551 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 81952350690000 in words is "eighty-one trillion, nine hundred fifty-two billion, three hundred fifty million, six hundred ninety thousand".