11578280952 has 192 divisors, whose sum is σ = 35642419200. Its totient is φ = 3116413440.

The previous prime is 11578280951. The next prime is 11578280953. The reversal of 11578280952 is 25908287511.

It is an interprime number because it is at equal distance from previous prime (11578280951) and next prime (11578280953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578280951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266348 + ... + 4269060.

It is an arithmetic number, because the mean of its divisors is an integer number (185637600).

Almost surely, 2^11578280952 is an apocalyptic number.

11578280952 is a gapful number since it is divisible by the number (12) 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 11578280952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821209600).

11578280952 is an abundant number, since it is smaller than the sum of its proper divisors (24064138248).

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

11578280952 is a wasteful number, since it uses less digits than its factorization.

11578280952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 11578280952 in words is "eleven billion, five hundred seventy-eight million, two hundred eighty thousand, nine hundred fifty-two".