10437042535920 has 5120 divisors, whose sum is σ = 52796620800000. Its totient is φ = 1864030371840.

The previous prime is 10437042535861. The next prime is 10437042535991. The reversal of 10437042535920 is 2953524073401.

It is a happy number.

10437042535920 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 7 + 0 + 4 + 2 + 53 + 592 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 132114462441 + ... + 132114462519.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840000).

Almost surely, 2^{10437042535920} is an apocalyptic number.

10437042535920 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 10437042535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26398310400000).

10437042535920 is an abundant number, since it is smaller than the sum of its proper divisors (42359578264080).

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

10437042535920 is a wasteful number, since it uses less digits than its factorization.

10437042535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 10437042535920 in words is "ten trillion, four hundred thirty-seven billion, forty-two million, five hundred thirty-five thousand, nine hundred twenty".