10937687040 has 704 divisors, whose sum is σ = 45276364800. Its totient is φ = 2452488192.

The previous prime is 10937687023. The next prime is 10937687081. The reversal of 10937687040 is 4078673901.

10937687040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86123457 + ... + 86123583.

Almost surely, 2^10937687040 is an apocalyptic number.

10937687040 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 10937687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638182400).

10937687040 is an abundant number, since it is smaller than the sum of its proper divisors (34338677760).

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

10937687040 is a wasteful number, since it uses less digits than its factorization.

10937687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10937687040 in words is "ten billion, nine hundred thirty-seven million, six hundred eighty-seven thousand, forty".