10537061040 has 640 divisors, whose sum is σ = 44161459200. Its totient is φ = 2275983360.

The previous prime is 10537061039. The next prime is 10537061053. The reversal of 10537061040 is 4016073501.

10537061040 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 0 + 610 + 40 = 666.

It is a super-2 number, since 2×10537061040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10537060995 and 10537061013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7673794 + ... + 7675166.

It is an arithmetic number, because the mean of its divisors is an integer number (69002280).

Almost surely, 2^10537061040 is an apocalyptic number.

10537061040 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 10537061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080729600).

10537061040 is an abundant number, since it is smaller than the sum of its proper divisors (33624398160).

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

10537061040 is a wasteful number, since it uses less digits than its factorization.

10537061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10537061040 in words is "ten billion, five hundred thirty-seven million, sixty-one thousand, forty".