265426761600 has 3456 divisors, whose sum is σ = 1371585546240. Its totient is φ = 49268736000.

The previous prime is 265426761571. The next prime is 265426761601. The reversal of 265426761600 is 6167624562.

265426761600 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 26 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265426761601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8562153585 + ... + 8562153615.

Almost surely, 2^265426761600 is an apocalyptic number.

265426761600 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 265426761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685792773120).

265426761600 is an abundant number, since it is smaller than the sum of its proper divisors (1106158784640).

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

265426761600 is a wasteful number, since it uses less digits than its factorization.

265426761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 265426761600 in words is "two hundred sixty-five billion, four hundred twenty-six million, seven hundred sixty-one thousand, six hundred".