10676152283742 has 240 divisors, whose sum is σ = 27330915704400. Its totient is φ = 3108800217600.

The previous prime is 10676152283701. The next prime is 10676152283861. The reversal of 10676152283742 is 24738225167601.

10676152283742 is a `hidden beast` number, since 1 + 0 + 6 + 76 + 1 + 522 + 8 + 3 + 7 + 42 = 666.

It is a super-2 number, since 2×10676152283742² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 119900134 + ... + 119989142.

It is an arithmetic number, because the mean of its divisors is an integer number (113878815435).

Almost surely, 2^{10676152283742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10676152283742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665457852200).

10676152283742 is an abundant number, since it is smaller than the sum of its proper divisors (16654763420658).

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

10676152283742 is a wasteful number, since it uses less digits than its factorization.

10676152283742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89285 (or 89265 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 10676152283742 in words is "ten trillion, six hundred seventy-six billion, one hundred fifty-two million, two hundred eighty-three thousand, seven hundred forty-two".