11458545120 has 360 divisors, whose sum is σ = 44455689432. Its totient is φ = 2777448960.

The previous prime is 11458545113. The next prime is 11458545143. The reversal of 11458545120 is 2154585411.

11458545120 is a `hidden beast` number, since 1 + 1 + 4 + 585 + 4 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1564507 + ... + 1571813.

Almost surely, 2^11458545120 is an apocalyptic number.

11458545120 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 11458545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227844716).

11458545120 is an abundant number, since it is smaller than the sum of its proper divisors (32997144312).

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

11458545120 is a wasteful number, since it uses less digits than its factorization.

11458545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 11458545120 in words is "eleven billion, four hundred fifty-eight million, five hundred forty-five thousand, one hundred twenty".