10379785036800 has 792 divisors, whose sum is σ = 38028742451136. Its totient is φ = 2491733770240.

The previous prime is 10379785036793. The next prime is 10379785036847. The reversal of 10379785036800 is 863058797301.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510479434 + ... + 510499766.

Almost surely, 2^{10379785036800} is an apocalyptic number.

10379785036800 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 10379785036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014371225568).

10379785036800 is an abundant number, since it is smaller than the sum of its proper divisors (27648957414336).

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

10379785036800 is a wasteful number, since it uses less digits than its factorization.

10379785036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20423 (or 20383 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 10379785036800 in words is "ten trillion, three hundred seventy-nine billion, seven hundred eighty-five million, thirty-six thousand, eight hundred".