10752375483642 has 128 divisors (see below), whose sum is σ = 23500374573312. Its totient is φ = 3259877068800.

The previous prime is 10752375483583. The next prime is 10752375483671. The reversal of 10752375483642 is 24638457325701.

It is a super-2 number, since 2×10752375483642² (a number of 27 digits) contains 22 as substring.

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, 5777739792 + ... + 5777741652.

It is an arithmetic number, because the mean of its divisors is an integer number (183596676354).

Almost surely, 2^{10752375483642} is an apocalyptic number.

It is a pronic number, being equal to 3279081×3279082.

10752375483642 is the 2677359-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10752375483642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750187286656).

10752375483642 is an abundant number, since it is smaller than the sum of its proper divisors (12747999089670).

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

10752375483642 is a wasteful number, since it uses less digits than its factorization.

10752375483642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856.

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 10752375483642 in words is "ten trillion, seven hundred fifty-two billion, three hundred seventy-five million, four hundred eighty-three thousand, six hundred forty-two".