10411772827680 has 1152 divisors, whose sum is σ = 43436979855360. Its totient is φ = 2305851494400.

The previous prime is 10411772827679. The next prime is 10411772827769. The reversal of 10411772827680 is 8672827711401.

It is a happy number.

10411772827680 is a `hidden beast` number, since 1 + 0 + 411 + 7 + 7 + 2 + 82 + 76 + 80 = 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, 1291939491 + ... + 1291947549.

It is an arithmetic number, because the mean of its divisors is an integer number (37705711680).

Almost surely, 2^{10411772827680} is an apocalyptic number.

10411772827680 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 10411772827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718489927680).

10411772827680 is an abundant number, since it is smaller than the sum of its proper divisors (33025207027680).

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

10411772827680 is a wasteful number, since it uses less digits than its factorization.

10411772827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 10411772827680 in words is "ten trillion, four hundred eleven billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, six hundred eighty".