10642857120 has 144 divisors (see below), whose sum is σ = 41507182080. Its totient is φ = 2432650752.

The previous prime is 10642857103. The next prime is 10642857149. The reversal of 10642857120 is 2175824601.

10642857120 is a `hidden beast` number, since 1 + 0 + 64 + 2 + 8 + 571 + 20 = 666.

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

It is a super-2 number, since 2×10642857120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517840 + ... + 537999.

It is an arithmetic number, because the mean of its divisors is an integer number (288244320).

Almost surely, 2^10642857120 is an apocalyptic number.

10642857120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642857120 is an abundant number, since it is smaller than the sum of its proper divisors (30864324960).

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

10642857120 is a wasteful number, since it uses less digits than its factorization.

10642857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055867 (or 1055856 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10642857120 in words is "ten billion, six hundred forty-two million, eight hundred fifty-seven thousand, one hundred twenty".