82779419151 has 48 divisors (see below), whose sum is σ = 145167627360. Its totient is φ = 46310140800.

The previous prime is 82779419131. The next prime is 82779419213. The reversal of 82779419151 is 15191497728.

82779419151 is a `hidden beast` number, since 8 + 2 + 7 + 79 + 419 + 151 = 666.

It is not a de Polignac number, because 82779419151 - 2⁶ = 82779419087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82779419131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932070 + ... + 1017011.

It is an arithmetic number, because the mean of its divisors is an integer number (3024325570).

Almost surely, 2^82779419151 is an apocalyptic number.

82779419151 is a deficient number, since it is larger than the sum of its proper divisors (62388208209).

82779419151 is a wasteful number, since it uses less digits than its factorization.

82779419151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949125 (or 1949108 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 82779419151 in words is "eighty-two billion, seven hundred seventy-nine million, four hundred nineteen thousand, one hundred fifty-one".