10161642827520 has 576 divisors, whose sum is σ = 37451940556800. Its totient is φ = 2606226554880.

The previous prime is 10161642827513. The next prime is 10161642827527. The reversal of 10161642827520 is 2572824616101.

10161642827520 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 6 + 42 + 82 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (10161642827513) and next prime (10161642827527).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161642827527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174602586 + ... + 174660774.

Almost surely, 2^{10161642827520} is an apocalyptic number.

10161642827520 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 10161642827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725970278400).

10161642827520 is an abundant number, since it is smaller than the sum of its proper divisors (27290297729280).

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

10161642827520 is a wasteful number, since it uses less digits than its factorization.

10161642827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58413 (or 58393 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10161642827520 in words is "ten trillion, one hundred sixty-one billion, six hundred forty-two million, eight hundred twenty-seven thousand, five hundred twenty".