10056506688540 has 576 divisors, whose sum is σ = 33961120083072. Its totient is φ = 2393033932800.

The previous prime is 10056506688517. The next prime is 10056506688551. The reversal of 10056506688540 is 4588660565001.

10056506688540 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 506 + 6 + 88 + 54 + 0 = 666.

It is a super-2 number, since 2×10056506688540² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5202537414 + ... + 5202539346.

It is an arithmetic number, because the mean of its divisors is an integer number (58960277922).

Almost surely, 2^{10056506688540} is an apocalyptic number.

10056506688540 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 10056506688540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980560041536).

10056506688540 is an abundant number, since it is smaller than the sum of its proper divisors (23904613394532).

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

10056506688540 is a wasteful number, since it uses less digits than its factorization.

10056506688540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 10056506688540 in words is "ten trillion, fifty-six billion, five hundred six million, six hundred eighty-eight thousand, five hundred forty".