10016277476868 has 288 divisors, whose sum is σ = 28664580904960. Its totient is φ = 3039706051200.

The previous prime is 10016277476867. The next prime is 10016277476957. The reversal of 10016277476868 is 86867477261001.

10016277476868 is a `hidden beast` number, since 1 + 0 + 0 + 16 + 2 + 77 + 476 + 86 + 8 = 666.

It is a super-2 number, since 2×10016277476868² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10016277476867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049149671 + ... + 1049159217.

Almost surely, 2^{10016277476868} is an apocalyptic number.

10016277476868 is a gapful number since it is divisible by the number (18) 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 10016277476868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332290452480).

10016277476868 is an abundant number, since it is smaller than the sum of its proper divisors (18648303428092).

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

10016277476868 is a wasteful number, since it uses less digits than its factorization.

10016277476868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 10016277476868 in words is "ten trillion, sixteen billion, two hundred seventy-seven million, four hundred seventy-six thousand, eight hundred sixty-eight".