10513001802240 has 2560 divisors, whose sum is σ = 47978552033280. Its totient is φ = 2125489766400.

The previous prime is 10513001802221. The next prime is 10513001802313. The reversal of 10513001802240 is 4220810031501.

10513001802240 is a `hidden beast` number, since 10 + 51 + 300 + 1 + 80 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×10513001802240² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11540067385 + ... + 11540068295.

It is an arithmetic number, because the mean of its divisors is an integer number (18741621888).

Almost surely, 2^{10513001802240} is an apocalyptic number.

10513001802240 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 10513001802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23989276016640).

10513001802240 is an abundant number, since it is smaller than the sum of its proper divisors (37465550231040).

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

10513001802240 is a wasteful number, since it uses less digits than its factorization.

10513001802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10513001802240 its reverse (4220810031501), we get a palindrome (14733811833741).

The spelling of 10513001802240 in words is "ten trillion, five hundred thirteen billion, one million, eight hundred two thousand, two hundred forty".