261624232215000 has 240 divisors, whose sum is σ = 909353983515120. Its totient is φ = 67880881440000.

The previous prime is 261624232214977. The next prime is 261624232215001. The reversal of 261624232215000 is 512232426162.

261624232215000 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 2 + 423 + 221 + 5 + 0 + 0 + 0 = 666.

261624232215000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261624232215001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76900836 + ... + 80230835.

It is an arithmetic number, because the mean of its divisors is an integer number (3788974931313).

Almost surely, 2^{261624232215000} is an apocalyptic number.

261624232215000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261624232215000 is an abundant number, since it is smaller than the sum of its proper divisors (647729751300120).

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

261624232215000 is a wasteful number, since it uses less digits than its factorization.

261624232215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157131740 (or 157131718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 261624232215000 in words is "two hundred sixty-one trillion, six hundred twenty-four billion, two hundred thirty-two million, two hundred fifteen thousand".