10352575042560 has 704 divisors, whose sum is σ = 37517402899200. Its totient is φ = 2706495897600.

The previous prime is 10352575042543. The next prime is 10352575042571. The reversal of 10352575042560 is 6524057525301.

It is a happy number.

10352575042560 is a `hidden beast` number, since 1 + 0 + 3 + 52 + 575 + 0 + 4 + 25 + 6 + 0 = 666.

It is a super-2 number, since 2×10352575042560² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2791201986 + ... + 2791205694.

Almost surely, 2^{10352575042560} is an apocalyptic number.

10352575042560 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 10352575042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758701449600).

10352575042560 is an abundant number, since it is smaller than the sum of its proper divisors (27164827856640).

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

10352575042560 is a wasteful number, since it uses less digits than its factorization.

10352575042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 10352575042560 in words is "ten trillion, three hundred fifty-two billion, five hundred seventy-five million, forty-two thousand, five hundred sixty".