57826103040 has 144 divisors (see below), whose sum is σ = 205202474400. Its totient is φ = 15420284928.

The previous prime is 57826103011. The next prime is 57826103081. The reversal of 57826103040 is 4030162875.

57826103040 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 610 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57826102986 and 57826103004.

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 15 ways as a sum of consecutive naturals, for example, 802045 + ... + 871164.

Almost surely, 2^57826103040 is an apocalyptic number.

It is an amenable number.

57826103040 is an abundant number, since it is smaller than the sum of its proper divisors (147376371360).

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

57826103040 is a wasteful number, since it uses less digits than its factorization.

57826103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673239 (or 1673219 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57826103040 in words is "fifty-seven billion, eight hundred twenty-six million, one hundred three thousand, forty".