11558056043520 has 2112 divisors, whose sum is σ = 48823767982080. Its totient is φ = 2567564034048.

The previous prime is 11558056043509. The next prime is 11558056043531. The reversal of 11558056043520 is 2534065085511.

11558056043520 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 0 + 5 + 604 + 35 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11558056043509) and next prime (11558056043531).

It is a super-2 number, since 2×11558056043520² (a number of 27 digits) contains 22 as substring.

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

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, 73618191282 + ... + 73618191438.

Almost surely, 2^{11558056043520} is an apocalyptic number.

11558056043520 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 11558056043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24411883991040).

11558056043520 is an abundant number, since it is smaller than the sum of its proper divisors (37265711938560).

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

11558056043520 is a wasteful number, since it uses less digits than its factorization.

11558056043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 11558056043520 in words is "eleven trillion, five hundred fifty-eight billion, fifty-six million, forty-three thousand, five hundred twenty".