82500919380 has 432 divisors, whose sum is σ = 288111043584. Its totient is φ = 19071360000.

The previous prime is 82500919379. The next prime is 82500919387. The reversal of 82500919380 is 8391900528.

It is a happy number.

82500919380 is a `hidden beast` number, since 8 + 250 + 0 + 9 + 19 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82500919387) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47936920 + ... + 47938640.

It is an arithmetic number, because the mean of its divisors is an integer number (666923712).

Almost surely, 2^82500919380 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 82500919380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144055521792).

82500919380 is an abundant number, since it is smaller than the sum of its proper divisors (205610124204).

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

82500919380 is a wasteful number, since it uses less digits than its factorization.

82500919380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 82500919380 in words is "eighty-two billion, five hundred million, nine hundred nineteen thousand, three hundred eighty".