10520510000 has 400 divisors, whose sum is σ = 34231642368. Its totient is φ = 3024000000.

The previous prime is 10520509999. The next prime is 10520510009. The reversal of 10520510000 is 1502501.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10520510000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10520510009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009475 + ... + 10010525.

Almost surely, 2^10520510000 is an apocalyptic number.

10520510000 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 10520510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115821184).

10520510000 is an abundant number, since it is smaller than the sum of its proper divisors (23711132368).

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

10520510000 is a wasteful number, since it uses less digits than its factorization.

10520510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The spelling of 10520510000 in words is "ten billion, five hundred twenty million, five hundred ten thousand".