10934011742976 has 1080 divisors, whose sum is σ = 39284770043904. Its totient is φ = 2962638581760.

The previous prime is 10934011742957. The next prime is 10934011742977. The reversal of 10934011742976 is 67924711043901.

10934011742976 is a `hidden beast` number, since 1 + 0 + 9 + 34 + 0 + 117 + 429 + 76 = 666.

It is a super-2 number, since 2×10934011742976² (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 not an unprimeable number, because it can be changed into a prime (10934011742977) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10058887905 + ... + 10058888991.

Almost surely, 2^{10934011742976} is an apocalyptic number.

10934011742976 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 10934011742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642385021952).

10934011742976 is an abundant number, since it is smaller than the sum of its proper divisors (28350758300928).

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

10934011742976 is a wasteful number, since it uses less digits than its factorization.

10934011742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10934011742976 in words is "ten trillion, nine hundred thirty-four billion, eleven million, seven hundred forty-two thousand, nine hundred seventy-six".