10520321600 has 84 divisors (see below), whose sum is σ = 26143270548. Its totient is φ = 4166400000.

The previous prime is 10520321597. The next prime is 10520321621. The reversal of 10520321600 is 612302501.

It can be written as a sum of positive squares in 6 ways, for example, as 1187215936 + 9333105664 = 34456^2 + 96608^2 .

It is a super-2 number, since 2×10520321600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129050 + ... + 194150.

Almost surely, 2^10520321600 is an apocalyptic number.

10520321600 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 10520321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071635274).

10520321600 is an abundant number, since it is smaller than the sum of its proper divisors (15622948948).

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

10520321600 is a wasteful number, since it uses less digits than its factorization.

10520321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65224 (or 65209 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 10520321600 in words is "ten billion, five hundred twenty million, three hundred twenty-one thousand, six hundred".