5512428432000 has 2560 divisors, whose sum is σ = 25595783516160. Its totient is φ = 1146617856000.

The previous prime is 5512428431999. The next prime is 5512428432011. The reversal of 5512428432000 is 2348242155.

5512428432000 is a `hidden beast` number, since 5 + 51 + 2 + 4 + 284 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4780943424 + ... + 4780944576.

It is an arithmetic number, because the mean of its divisors is an integer number (9998352936).

Almost surely, 2^{5512428432000} is an apocalyptic number.

5512428432000 is a gapful number since it is divisible by the number (50) 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 5512428432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797891758080).

5512428432000 is an abundant number, since it is smaller than the sum of its proper divisors (20083355084160).

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

5512428432000 is a wasteful number, since it uses less digits than its factorization.

5512428432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5512428432000 in words is "five trillion, five hundred twelve billion, four hundred twenty-eight million, four hundred thirty-two thousand".