260961186420 has 216 divisors, whose sum is σ = 907917873408. Its totient is φ = 60512622720.

The previous prime is 260961186407. The next prime is 260961186433. The reversal of 260961186420 is 24681169062.

260961186420 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 611 + 8 + 6 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (260961186407) and next prime (260961186433).

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 71 ways as a sum of consecutive naturals, for example, 240469 + ... + 761411.

It is an arithmetic number, because the mean of its divisors is an integer number (4203323488).

Almost surely, 2^260961186420 is an apocalyptic number.

260961186420 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 260961186420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453958936704).

260961186420 is an abundant number, since it is smaller than the sum of its proper divisors (646956686988).

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

260961186420 is a wasteful number, since it uses less digits than its factorization.

260961186420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521003 (or 520987 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 260961186420 in words is "two hundred sixty billion, nine hundred sixty-one million, one hundred eighty-six thousand, four hundred twenty".