261405101010000 has 200 divisors, whose sum is σ = 866657294566624. Its totient is φ = 67824025920000.

The previous prime is 261405101009977. The next prime is 261405101010077. The reversal of 261405101010000 is 10101504162.

261405101010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116640046 + ... + 118860045.

Almost surely, 2^{261405101010000} is an apocalyptic number.

261405101010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261405101010000 is an abundant number, since it is smaller than the sum of its proper divisors (605252193556624).

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

261405101010000 is a wasteful number, since it uses less digits than its factorization.

261405101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235500159 (or 235500138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 261405101010000 its reverse (10101504162), we get a palindrome (261415202514162).

The spelling of 261405101010000 in words is "two hundred sixty-one trillion, four hundred five billion, one hundred one million, ten thousand".