11758491360 has 480 divisors, whose sum is σ = 51741752832. Its totient is φ = 2443115520.

The previous prime is 11758491359. The next prime is 11758491361. The reversal of 11758491360 is 6319485711.

11758491360 is a `hidden beast` number, since 1 + 1 + 7 + 584 + 9 + 1 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11758491359) and next prime (11758491361).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11758491361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 992029 + ... + 1003811.

Almost surely, 2^11758491360 is an apocalyptic number.

11758491360 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 11758491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25870876416).

11758491360 is an abundant number, since it is smaller than the sum of its proper divisors (39983261472).

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

11758491360 is a wasteful number, since it uses less digits than its factorization.

11758491360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11758491360 in words is "eleven billion, seven hundred fifty-eight million, four hundred ninety-one thousand, three hundred sixty".