10077887896128 has 1008 divisors, whose sum is σ = 34013487506544. Its totient is φ = 2941074800640.

The previous prime is 10077887896099. The next prime is 10077887896129. The reversal of 10077887896128 is 82169878877001.

It can be written as a sum of positive squares in 8 ways, for example, as 1080335729664 + 8997552166464 = 1039392^2 + 2999592^2 .

It is a super-2 number, since 2×10077887896128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10077887896129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8280926176 + ... + 8280927392.

It is an arithmetic number, because the mean of its divisors is an integer number (33743539193).

Almost surely, 2^{10077887896128} is an apocalyptic number.

10077887896128 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 10077887896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006743753272).

10077887896128 is an abundant number, since it is smaller than the sum of its proper divisors (23935599610416).

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

10077887896128 is an equidigital number, since it uses as much as digits as its factorization.

10077887896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 10077887896128 in words is "ten trillion, seventy-seven billion, eight hundred eighty-seven million, eight hundred ninety-six thousand, one hundred twenty-eight".