10537233791040 has 1344 divisors, whose sum is σ = 42156005299200. Its totient is φ = 2389085798400.

The previous prime is 10537233791011. The next prime is 10537233791207. The reversal of 10537233791040 is 4019733273501.

10537233791040 is a `hidden beast` number, since 1 + 0 + 537 + 2 + 3 + 3 + 7 + 9 + 104 + 0 = 666.

It is a super-2 number, since 2×10537233791040² (a number of 27 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 20701834306 + ... + 20701834814.

Almost surely, 2^{10537233791040} is an apocalyptic number.

10537233791040 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 10537233791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078002649600).

10537233791040 is an abundant number, since it is smaller than the sum of its proper divisors (31618771508160).

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

10537233791040 is a wasteful number, since it uses less digits than its factorization.

10537233791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10537233791040 in words is "ten trillion, five hundred thirty-seven billion, two hundred thirty-three million, seven hundred ninety-one thousand, forty".