10345035529800 has 144 divisors (see below), whose sum is σ = 36570608178000. Its totient is φ = 2613482651520.

The previous prime is 10345035529769. The next prime is 10345035529811. The reversal of 10345035529800 is 892553054301.

10345035529800 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 5 + 0 + 3 + 552 + 98 + 0 + 0 = 666.

It is a super-2 number, since 2×10345035529800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151209010 + ... + 151277409.

Almost surely, 2^{10345035529800} is an apocalyptic number.

10345035529800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345035529800 is an abundant number, since it is smaller than the sum of its proper divisors (26225572648200).

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

10345035529800 is a wasteful number, since it uses less digits than its factorization.

10345035529800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302486460 (or 302486448 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 10345035529800 in words is "ten trillion, three hundred forty-five billion, thirty-five million, five hundred twenty-nine thousand, eight hundred".