10520353878300 has 216 divisors, whose sum is σ = 39669732502400. Its totient is φ = 2278091640960.

The previous prime is 10520353878161. The next prime is 10520353878301. The reversal of 10520353878300 is 387835302501.

10520353878300 is a `hidden beast` number, since 1 + 0 + 520 + 3 + 53 + 8 + 78 + 3 + 0 + 0 = 666.

10520353878300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10520353878300² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520353878301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43824970 + ... + 44064369.

Almost surely, 2^{10520353878300} is an apocalyptic number.

10520353878300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520353878300 is an abundant number, since it is smaller than the sum of its proper divisors (29149378624100).

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

10520353878300 is a wasteful number, since it uses less digits than its factorization.

10520353878300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87889385 (or 87889375 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10520353878300 in words is "ten trillion, five hundred twenty billion, three hundred fifty-three million, eight hundred seventy-eight thousand, three hundred".