10305382763376 has 400 divisors, whose sum is σ = 30684246484320. Its totient is φ = 3337892167680.

The previous prime is 10305382763369. The next prime is 10305382763383. The reversal of 10305382763376 is 67336728350301.

10305382763376 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 38 + 276 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10305382763369) and next prime (10305382763383).

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 79 ways as a sum of consecutive naturals, for example, 3637620456 + ... + 3637623288.

Almost surely, 2^{10305382763376} is an apocalyptic number.

10305382763376 is a gapful number since it is divisible by the number (16) 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 10305382763376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342123242160).

10305382763376 is an abundant number, since it is smaller than the sum of its proper divisors (20378863720944).

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

10305382763376 is a wasteful number, since it uses less digits than its factorization.

10305382763376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 10305382763376 in words is "ten trillion, three hundred five billion, three hundred eighty-two million, seven hundred sixty-three thousand, three hundred seventy-six".