1611011413260 has 384 divisors, whose sum is σ = 5166120960000. Its totient is φ = 416585638656.

The previous prime is 1611011413237. The next prime is 1611011413343. The reversal of 1611011413260 is 623141101161.

1611011413260 is a `hidden beast` number, since 1 + 611 + 0 + 1 + 1 + 41 + 3 + 2 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1550539821 + ... + 1550540859.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440000).

Almost surely, 2^{1611011413260} is an apocalyptic number.

1611011413260 is a gapful number since it is divisible by the number (10) 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 1611011413260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583060480000).

1611011413260 is an abundant number, since it is smaller than the sum of its proper divisors (3555109546740).

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

1611011413260 is a wasteful number, since it uses less digits than its factorization.

1611011413260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1611011413260 in words is "one trillion, six hundred eleven billion, eleven million, four hundred thirteen thousand, two hundred sixty".