261179075430 has 384 divisors, whose sum is σ = 872364100608. Its totient is φ = 54747643392.

The previous prime is 261179075429. The next prime is 261179075453. The reversal of 261179075430 is 34570971162.

261179075430 is a `hidden beast` number, since 2 + 6 + 1 + 17 + 90 + 7 + 543 + 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 191 ways as a sum of consecutive naturals, for example, 34713649 + ... + 34721171.

It is an arithmetic number, because the mean of its divisors is an integer number (2271781512).

Almost surely, 2^261179075430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261179075430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436182050304).

261179075430 is an abundant number, since it is smaller than the sum of its proper divisors (611185025178).

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

261179075430 is a wasteful number, since it uses less digits than its factorization.

261179075430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 261179075430 in words is "two hundred sixty-one billion, one hundred seventy-nine million, seventy-five thousand, four hundred thirty".