10765054984320 has 1536 divisors, whose sum is σ = 50277332448000. Its totient is φ = 2151723958272.

The previous prime is 10765054984319. The next prime is 10765054984349. The reversal of 10765054984320 is 2348945056701.

It is a happy number.

10765054984320 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 50 + 549 + 8 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209114104 + ... + 209165576.

It is a 1-persistent number, because it is pandigital, but 2⋅10765054984320 = 21530109968640 is not.

Almost surely, 2^{10765054984320} is an apocalyptic number.

10765054984320 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 10765054984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138666224000).

10765054984320 is an abundant number, since it is smaller than the sum of its proper divisors (39512277463680).

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

10765054984320 is a wasteful number, since it uses less digits than its factorization.

10765054984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51547 (or 51522 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 10765054984320 in words is "ten trillion, seven hundred sixty-five billion, fifty-four million, nine hundred eighty-four thousand, three hundred twenty".