11058872509440 has 1760 divisors, whose sum is σ = 49614123525120. Its totient is φ = 2296718032896.

The previous prime is 11058872509427. The next prime is 11058872509453. The reversal of 11058872509440 is 4490527885011.

11058872509440 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 88 + 72 + 50 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (11058872509427) and next prime (11058872509453).

It is a super-2 number, since 2×11058872509440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1431194857 + ... + 1431202583.

It is an arithmetic number, because the mean of its divisors is an integer number (28189842912).

Almost surely, 2^{11058872509440} is an apocalyptic number.

11058872509440 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 11058872509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807061762560).

11058872509440 is an abundant number, since it is smaller than the sum of its proper divisors (38555251015680).

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

11058872509440 is a wasteful number, since it uses less digits than its factorization.

11058872509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 11058872509440 in words is "eleven trillion, fifty-eight billion, eight hundred seventy-two million, five hundred nine thousand, four hundred forty".