10359498240 has 1120 divisors, whose sum is σ = 46586143296. Its totient is φ = 2149908480.

The previous prime is 10359498239. The next prime is 10359498271. The reversal of 10359498240 is 4289495301.

10359498240 is a `hidden beast` number, since 10 + 3 + 594 + 9 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×10359498240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827810 + ... + 169827870.

Almost surely, 2^10359498240 is an apocalyptic number.

10359498240 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 10359498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293071648).

10359498240 is an abundant number, since it is smaller than the sum of its proper divisors (36226645056).

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

10359498240 is an frugal number, since it uses more digits than its factorization.

10359498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10359498240 in words is "ten billion, three hundred fifty-nine million, four hundred ninety-eight thousand, two hundred forty".