261701000064 has 1152 divisors, whose sum is σ = 975189196800. Its totient is φ = 69498777600.

The previous prime is 261701000059. The next prime is 261701000081. The reversal of 261701000064 is 460000107162.

261701000064 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1370162209 + ... + 1370162399.

It is an arithmetic number, because the mean of its divisors is an integer number (846518400).

Almost surely, 2^261701000064 is an apocalyptic number.

261701000064 is a gapful number since it is divisible by the number (24) 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 261701000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487594598400).

261701000064 is an abundant number, since it is smaller than the sum of its proper divisors (713488196736).

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

261701000064 is a wasteful number, since it uses less digits than its factorization.

261701000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 261701000064 in words is "two hundred sixty-one billion, seven hundred one million, sixty-four", and thus it is an aban number.