83200187021952 has 768 divisors, whose sum is σ = 310189906615680. Its totient is φ = 19408935813120.

The previous prime is 83200187021923. The next prime is 83200187021971. The reversal of 83200187021952 is 25912078100238.

It is a super-2 number, since 2×83200187021952² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99137598 + ... + 99973314.

Almost surely, 2^{83200187021952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83200187021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155094953307840).

83200187021952 is an abundant number, since it is smaller than the sum of its proper divisors (226989719593728).

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

83200187021952 is a wasteful number, since it uses less digits than its factorization.

83200187021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835809 (or 835790 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 83200187021952 in words is "eighty-three trillion, two hundred billion, one hundred eighty-seven million, twenty-one thousand, nine hundred fifty-two".