10235540700 has 360 divisors, whose sum is σ = 41369268864. Its totient is φ = 2126736000.

The previous prime is 10235540681. The next prime is 10235540717. The reversal of 10235540700 is 704553201.

It is a happy number.

10235540700 is a `hidden beast` number, since 102 + 3 + 554 + 0 + 7 + 0 + 0 = 666.

10235540700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 615495 + ... + 631905.

Almost surely, 2^10235540700 is an apocalyptic number.

10235540700 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 10235540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684634432).

10235540700 is an abundant number, since it is smaller than the sum of its proper divisors (31133728164).

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

10235540700 is a wasteful number, since it uses less digits than its factorization.

10235540700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16455 (or 16439 counting only the distinct ones).

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

The spelling of 10235540700 in words is "ten billion, two hundred thirty-five million, five hundred forty thousand, seven hundred".