82177437650 has 192 divisors, whose sum is σ = 192641670144. Its totient is φ = 25336800000.

The previous prime is 82177437613. The next prime is 82177437677. The reversal of 82177437650 is 5673477128.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 267678797 + ... + 267679103.

It is an arithmetic number, because the mean of its divisors is an integer number (1003342032).

Almost surely, 2^82177437650 is an apocalyptic number.

82177437650 is an abundant number, since it is smaller than the sum of its proper divisors (110464232494).

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

82177437650 is a wasteful number, since it uses less digits than its factorization.

82177437650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 82177437650 in words is "eighty-two billion, one hundred seventy-seven million, four hundred thirty-seven thousand, six hundred fifty".