82199071400436 has 24 divisors (see below), whose sum is σ = 213108703631040. Its totient is φ = 27399690466776.

The previous prime is 82199071400429. The next prime is 82199071400473. The reversal of 82199071400436 is 63400417099128.

82199071400436 is a `hidden beast` number, since 8 + 2 + 19 + 90 + 71 + 40 + 0 + 436 = 666.

82199071400436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380551256376 + ... + 380551256591.

It is an arithmetic number, because the mean of its divisors is an integer number (8879529317960).

Almost surely, 2^{82199071400436} is an apocalyptic number.

It is an amenable number.

82199071400436 is an abundant number, since it is smaller than the sum of its proper divisors (130909632230604).

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

82199071400436 is a wasteful number, since it uses less digits than its factorization.

82199071400436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761102512980 (or 761102512972 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 82199071400436 in words is "eighty-two trillion, one hundred ninety-nine billion, seventy-one million, four hundred thousand, four hundred thirty-six".