262961427456 has 1232 divisors, whose sum is σ = 1002342208000. Its totient is φ = 68474585088.

The previous prime is 262961427439. The next prime is 262961427481. The reversal of 262961427456 is 654724169262.

262961427456 is a `hidden beast` number, since 2 + 62 + 96 + 1 + 42 + 7 + 456 = 666.

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 111 ways as a sum of consecutive naturals, for example, 3328625625 + ... + 3328625703.

Almost surely, 2^262961427456 is an apocalyptic number.

262961427456 is a gapful number since it is divisible by the number (26) 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 262961427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501171104000).

262961427456 is an abundant number, since it is smaller than the sum of its proper divisors (739380780544).

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

262961427456 is an frugal number, since it uses more digits than its factorization.

262961427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 104 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 262961427456 in words is "two hundred sixty-two billion, nine hundred sixty-one million, four hundred twenty-seven thousand, four hundred fifty-six".