11882006400 has 576 divisors, whose sum is σ = 44056398960. Its totient is φ = 2811494400.

The previous prime is 11882006369. The next prime is 11882006407. The reversal of 11882006400 is 460028811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882006407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61564704 + ... + 61564896.

Almost surely, 2^11882006400 is an apocalyptic number.

11882006400 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 11882006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22028199480).

11882006400 is an abundant number, since it is smaller than the sum of its proper divisors (32174392560).

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

11882006400 is a wasteful number, since it uses less digits than its factorization.

11882006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 11882006400 in words is "eleven billion, eight hundred eighty-two million, six thousand, four hundred".