11875248000 has 1920 divisors, whose sum is σ = 59262334560. Its totient is φ = 2322432000.

The previous prime is 11875247971. The next prime is 11875248023. The reversal of 11875248000 is 84257811.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 698543992 + ... + 698544008.

Almost surely, 2^11875248000 is an apocalyptic number.

11875248000 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 11875248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631167280).

11875248000 is an abundant number, since it is smaller than the sum of its proper divisors (47387086560).

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

11875248000 is a wasteful number, since it uses less digits than its factorization.

11875248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11875248000 in words is "eleven billion, eight hundred seventy-five million, two hundred forty-eight thousand".