82883706009951 has 64 divisors (see below), whose sum is σ = 145591060561920. Its totient is φ = 40663127831040.

The previous prime is 82883706009877. The next prime is 82883706009953. The reversal of 82883706009951 is 15990060738828.

It is a happy number.

It is not a de Polignac number, because 82883706009951 - 2⁷ = 82883706009823 is a prime.

It is a super-2 number, since 2×82883706009951² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82883706009953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98315530 + ... + 99154983.

It is an arithmetic number, because the mean of its divisors is an integer number (2274860321280).

Almost surely, 2^{82883706009951} is an apocalyptic number.

82883706009951 is a deficient number, since it is larger than the sum of its proper divisors (62707354551969).

82883706009951 is a wasteful number, since it uses less digits than its factorization.

82883706009951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197470636.

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 82883706009951 in words is "eighty-two trillion, eight hundred eighty-three billion, seven hundred six million, nine thousand, nine hundred fifty-one".