13083552000 has 576 divisors, whose sum is σ = 50890694400. Its totient is φ = 3301171200.

The previous prime is 13083551977. The next prime is 13083552023. The reversal of 13083552000 is 25538031.

13083552000 is a `hidden beast` number, since 1 + 30 + 83 + 552 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13083551977) and next prime (13083552023).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415602 + ... + 16416398.

It is an arithmetic number, because the mean of its divisors is an integer number (88351900).

Almost surely, 2^13083552000 is an apocalyptic number.

13083552000 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 13083552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25445347200).

13083552000 is an abundant number, since it is smaller than the sum of its proper divisors (37807142400).

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

13083552000 is an equidigital number, since it uses as much as digits as its factorization.

13083552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13083552000 in words is "thirteen billion, eighty-three million, five hundred fifty-two thousand".