10353606240 has 96 divisors (see below), whose sum is σ = 33073318656. Its totient is φ = 2722065920.

The previous prime is 10353606229. The next prime is 10353606281. The reversal of 10353606240 is 4260635301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10353606240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10353606198 and 10353606207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117822 + ... + 185981.

It is an arithmetic number, because the mean of its divisors is an integer number (344513736).

Almost surely, 2^10353606240 is an apocalyptic number.

10353606240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10353606240 is an abundant number, since it is smaller than the sum of its proper divisors (22719712416).

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

10353606240 is a wasteful number, since it uses less digits than its factorization.

10353606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303892 (or 303884 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 10353606240 in words is "ten billion, three hundred fifty-three million, six hundred six thousand, two hundred forty".