265998627972 has 1536 divisors, whose sum is σ = 1021870080000. Its totient is φ = 58891069440.

The previous prime is 265998627941. The next prime is 265998627977. The reversal of 265998627972 is 279726899562.

265998627972 is a `hidden beast` number, since 2 + 6 + 599 + 8 + 6 + 27 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 265998627972.

It is not an unprimeable number, because it can be changed into a prime (265998627977) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5659545253 + ... + 5659545299.

It is an arithmetic number, because the mean of its divisors is an integer number (665280000).

Almost surely, 2^265998627972 is an apocalyptic number.

265998627972 is a gapful number since it is divisible by the number (22) 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 265998627972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510935040000).

265998627972 is an abundant number, since it is smaller than the sum of its proper divisors (755871452028).

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

265998627972 is a wasteful number, since it uses less digits than its factorization.

265998627972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 265998627972 in words is "two hundred sixty-five billion, nine hundred ninety-eight million, six hundred twenty-seven thousand, nine hundred seventy-two".