11858352480 has 192 divisors, whose sum is σ = 44697078720. Its totient is φ = 2918965248.

The previous prime is 11858352449. The next prime is 11858352497. The reversal of 11858352480 is 8425385811.

11858352480 is a `hidden beast` number, since 1 + 18 + 583 + 52 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49417 + ... + 161736.

It is an arithmetic number, because the mean of its divisors is an integer number (232797285).

Almost surely, 2^11858352480 is an apocalyptic number.

11858352480 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 11858352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348539360).

11858352480 is an abundant number, since it is smaller than the sum of its proper divisors (32838726240).

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

11858352480 is a wasteful number, since it uses less digits than its factorization.

11858352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211190 (or 211176 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 11858352480 in words is "eleven billion, eight hundred fifty-eight million, three hundred fifty-two thousand, four hundred eighty".