10207340550 has 480 divisors, whose sum is σ = 33704985600. Its totient is φ = 2262816000.

The previous prime is 10207340537. The next prime is 10207340557. The reversal of 10207340550 is 5504370201.

It is a happy number.

10207340550 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 73 + 40 + 550 = 666.

It is a super-2 number, since 2×10207340550² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207340557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26239756 + ... + 26240144.

It is an arithmetic number, because the mean of its divisors is an integer number (70218720).

Almost surely, 2^10207340550 is an apocalyptic number.

10207340550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10207340550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852492800).

10207340550 is an abundant number, since it is smaller than the sum of its proper divisors (23497645050).

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

10207340550 is a wasteful number, since it uses less digits than its factorization.

10207340550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10207340550 in words is "ten billion, two hundred seven million, three hundred forty thousand, five hundred fifty".