10347552000 has 864 divisors, whose sum is σ = 41120701440. Its totient is φ = 2488320000.

The previous prime is 10347551989. The next prime is 10347552001. The reversal of 10347552000 is 25574301.

It is a happy number.

10347552000 is a `hidden beast` number, since 103 + 4 + 7 + 552 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347552001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169631970 + ... + 169632030.

Almost surely, 2^10347552000 is an apocalyptic number.

10347552000 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 10347552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560350720).

10347552000 is an abundant number, since it is smaller than the sum of its proper divisors (30773149440).

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

10347552000 is a wasteful number, since it uses less digits than its factorization.

10347552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10347552000 in words is "ten billion, three hundred forty-seven million, five hundred fifty-two thousand".