261462254800 has 60 divisors (see below), whose sum is σ = 630859270860. Its totient is φ = 104136002560.

The previous prime is 261462254797. The next prime is 261462254803. The reversal of 261462254800 is 8452264162.

It is an interprime number because it is at equal distance from previous prime (261462254797) and next prime (261462254803).

It can be written as a sum of positive squares in 6 ways, for example, as 30055076496 + 231407178304 = 173364^2 + 481048^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261462254803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1309495 + ... + 1495894.

It is an arithmetic number, because the mean of its divisors is an integer number (10514321181).

Almost surely, 2^261462254800 is an apocalyptic number.

261462254800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261462254800 is an abundant number, since it is smaller than the sum of its proper divisors (369397016060).

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

261462254800 is a wasteful number, since it uses less digits than its factorization.

261462254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805640 (or 2805629 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 261462254800 in words is "two hundred sixty-one billion, four hundred sixty-two million, two hundred fifty-four thousand, eight hundred".