10350738316800 has 1200 divisors, whose sum is σ = 43976622092832. Its totient is φ = 2355344179200.

The previous prime is 10350738316781. The next prime is 10350738316817. The reversal of 10350738316800 is 861383705301.

10350738316800 is a `hidden beast` number, since 1 + 0 + 3 + 507 + 3 + 83 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1691017740 + ... + 1691023860.

Almost surely, 2^{10350738316800} is an apocalyptic number.

10350738316800 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 10350738316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21988311046416).

10350738316800 is an abundant number, since it is smaller than the sum of its proper divisors (33625883776032).

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

10350738316800 is an equidigital number, since it uses as much as digits as its factorization.

10350738316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10350738316800 in words is "ten trillion, three hundred fifty billion, seven hundred thirty-eight million, three hundred sixteen thousand, eight hundred".