11259034584 has 384 divisors, whose sum is σ = 36829624320. Its totient is φ = 2844979200.

The previous prime is 11259034541. The next prime is 11259034597. The reversal of 11259034584 is 48543095211.

It is a super-4 number, since 4×11259034584⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22930579 + ... + 22931069.

It is an arithmetic number, because the mean of its divisors is an integer number (95910480).

Almost surely, 2^11259034584 is an apocalyptic number.

11259034584 is a gapful number since it is divisible by the number (14) 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 11259034584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414812160).

11259034584 is an abundant number, since it is smaller than the sum of its proper divisors (25570589736).

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

11259034584 is a wasteful number, since it uses less digits than its factorization.

11259034584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 11259034584 in words is "eleven billion, two hundred fifty-nine million, thirty-four thousand, five hundred eighty-four".