10577251420032 has 384 divisors, whose sum is σ = 31672827799200. Its totient is φ = 3123354009600.

The previous prime is 10577251420031. The next prime is 10577251420033. The reversal of 10577251420032 is 23002415277501.

It is an interprime number because it is at equal distance from previous prime (10577251420031) and next prime (10577251420033).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10577251420032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577251420031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899306144 + ... + 1899311712.

Almost surely, 2^{10577251420032} is an apocalyptic number.

10577251420032 is a gapful number since it is divisible by the number (12) 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 10577251420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836413899600).

10577251420032 is an abundant number, since it is smaller than the sum of its proper divisors (21095576379168).

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

10577251420032 is a wasteful number, since it uses less digits than its factorization.

10577251420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

Adding to 10577251420032 its reverse (23002415277501), we get a palindrome (33579666697533).

The spelling of 10577251420032 in words is "ten trillion, five hundred seventy-seven billion, two hundred fifty-one million, four hundred twenty thousand, thirty-two".