10011094177152 has 256 divisors, whose sum is σ = 28509072721920. Its totient is φ = 3104477798400.

The previous prime is 10011094177031. The next prime is 10011094177153. The reversal of 10011094177152 is 25177149011001.

It is a super-2 number, since 2×10011094177152² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10011094177152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011094177153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259094777 + ... + 1259102727.

It is an arithmetic number, because the mean of its divisors is an integer number (111363565320).

Almost surely, 2^{10011094177152} is an apocalyptic number.

10011094177152 is a gapful number since it is divisible by the number (12) 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 10011094177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254536360960).

10011094177152 is an abundant number, since it is smaller than the sum of its proper divisors (18497978544768).

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

10011094177152 is a wasteful number, since it uses less digits than its factorization.

10011094177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 39.

The spelling of 10011094177152 in words is "ten trillion, eleven billion, ninety-four million, one hundred seventy-seven thousand, one hundred fifty-two".