10538087040 has 640 divisors, whose sum is σ = 42713193600. Its totient is φ = 2454478848.

The previous prime is 10538086987. The next prime is 10538087047. The reversal of 10538087040 is 4078083501.

10538087040 is a `hidden beast` number, since 1 + 0 + 538 + 0 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10538087040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10538086986 and 10538087004.

It is not an unprimeable number, because it can be changed into a prime (10538087047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12804069 + ... + 12804891.

It is an arithmetic number, because the mean of its divisors is an integer number (66739365).

Almost surely, 2^10538087040 is an apocalyptic number.

10538087040 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 10538087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356596800).

10538087040 is an abundant number, since it is smaller than the sum of its proper divisors (32175106560).

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

10538087040 is a wasteful number, since it uses less digits than its factorization.

10538087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10538087040 in words is "ten billion, five hundred thirty-eight million, eighty-seven thousand, forty".