10520932378320 has 640 divisors, whose sum is σ = 45511837056000. Its totient is φ = 2219799085056.

The previous prime is 10520932378291. The next prime is 10520932378339. The reversal of 10520932378320 is 2387323902501.

10520932378320 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 93 + 237 + 8 + 320 = 666.

10520932378320 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 2×10520932378320² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9085264 + ... + 10177616.

It is an arithmetic number, because the mean of its divisors is an integer number (71112245400).

Almost surely, 2^{10520932378320} is an apocalyptic number.

10520932378320 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 10520932378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22755918528000).

10520932378320 is an abundant number, since it is smaller than the sum of its proper divisors (34990904677680).

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

10520932378320 is a wasteful number, since it uses less digits than its factorization.

10520932378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092409 (or 1092383 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10520932378320 in words is "ten trillion, five hundred twenty billion, nine hundred thirty-two million, three hundred seventy-eight thousand, three hundred twenty".