10537909110240 has 96 divisors (see below), whose sum is σ = 33614596270080. Its totient is φ = 2774538084864.

The previous prime is 10537909110203. The next prime is 10537909110241. The reversal of 10537909110240 is 4201190973501.

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

It is a super-2 number, since 2×10537909110240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537909110192 and 10537909110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537909110241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138911304 + ... + 138987143.

It is an arithmetic number, because the mean of its divisors is an integer number (350152044480).

Almost surely, 2^{10537909110240} is an apocalyptic number.

10537909110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10537909110240 is an abundant number, since it is smaller than the sum of its proper divisors (23076687159840).

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

10537909110240 is a wasteful number, since it uses less digits than its factorization.

10537909110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277898544 (or 277898536 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 10537909110240 in words is "ten trillion, five hundred thirty-seven billion, nine hundred nine million, one hundred ten thousand, two hundred forty".