10352521080 has 192 divisors, whose sum is σ = 37253174400. Its totient is φ = 2472180480.

The previous prime is 10352521063. The next prime is 10352521097. The reversal of 10352521080 is 8012525301.

It is a happy number.

10352521080 is a `hidden beast` number, since 10 + 3 + 52 + 521 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10352521063) and next prime (10352521097).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245811 + ... + 284829.

It is an arithmetic number, because the mean of its divisors is an integer number (194026950).

Almost surely, 2^10352521080 is an apocalyptic number.

10352521080 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 10352521080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626587200).

10352521080 is an abundant number, since it is smaller than the sum of its proper divisors (26900653320).

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

10352521080 is a wasteful number, since it uses less digits than its factorization.

10352521080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39114 (or 39107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10352521080 in words is "ten billion, three hundred fifty-two million, five hundred twenty-one thousand, eighty".