261766307400 has 384 divisors, whose sum is σ = 924780810240. Its totient is φ = 60762240000.

The previous prime is 261766307393. The next prime is 261766307443. The reversal of 261766307400 is 4703667162.

It is a happy 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, 12727125 + ... + 12747675.

It is an arithmetic number, because the mean of its divisors is an integer number (2408283360).

Almost surely, 2^261766307400 is an apocalyptic number.

261766307400 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 261766307400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462390405120).

261766307400 is an abundant number, since it is smaller than the sum of its proper divisors (663014502840).

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

261766307400 is a wasteful number, since it uses less digits than its factorization.

261766307400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20677 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 261766307400 in words is "two hundred sixty-one billion, seven hundred sixty-six million, three hundred seven thousand, four hundred".