261245623523040 has 576 divisors, whose sum is σ = 969878018858112. Its totient is φ = 63653216256000.

The previous prime is 261245623523039. The next prime is 261245623523083. The reversal of 261245623523040 is 40325326542162.

261245623523040 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 4 + 562 + 3 + 52 + 30 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794143872 + ... + 794472768.

It is an arithmetic number, because the mean of its divisors is an integer number (1683816004962).

Almost surely, 2^{261245623523040} is an apocalyptic number.

261245623523040 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 261245623523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484939009429056).

261245623523040 is an abundant number, since it is smaller than the sum of its proper divisors (708632395335072).

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

261245623523040 is a wasteful number, since it uses less digits than its factorization.

261245623523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329363 (or 329352 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 261245623523040 in words is "two hundred sixty-one trillion, two hundred forty-five billion, six hundred twenty-three million, five hundred twenty-three thousand, forty".