738891021000 has 256 divisors, whose sum is σ = 2521233112320. Its totient is φ = 178675200000.

The previous prime is 738891020969. The next prime is 738891021013. The reversal of 738891021000 is 120198837.

It is a self number, because there is not a number n which added to its sum of digits gives 738891021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13205082 + ... + 13260918.

It is an arithmetic number, because the mean of its divisors is an integer number (9848566845).

Almost surely, 2^738891021000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738891021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260616556160).

738891021000 is an abundant number, since it is smaller than the sum of its proper divisors (1782342091320).

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

738891021000 is a wasteful number, since it uses less digits than its factorization.

738891021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56273 (or 56259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 738891021000 in words is "seven hundred thirty-eight billion, eight hundred ninety-one million, twenty-one thousand".