264172393931160 has 512 divisors, whose sum is σ = 937002434457600. Its totient is φ = 58738955950080.

The previous prime is 264172393931107. The next prime is 264172393931167. The reversal of 264172393931160 is 61139393271462.

It is a Cunningham number, because it is equal to 16253381²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 264172393931160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264172393931167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15895797331 + ... + 15895813949.

It is an arithmetic number, because the mean of its divisors is an integer number (1830082879800).

Almost surely, 2^{264172393931160} is an apocalyptic number.

264172393931160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264172393931160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468501217228800).

264172393931160 is an abundant number, since it is smaller than the sum of its proper divisors (672830040526440).

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

264172393931160 is a wasteful number, since it uses less digits than its factorization.

264172393931160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22503 (or 22499 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 264172393931160 in words is "two hundred sixty-four trillion, one hundred seventy-two billion, three hundred ninety-three million, nine hundred thirty-one thousand, one hundred sixty".