10077696000000 has 1120 divisors, whose sum is σ = 37789659645540. Its totient is φ = 2687385600000.

The previous prime is 10077695999981. The next prime is 10077696000007. The reversal of 10077696000000 is 69677001.

The cubic root of 10077696000000 is 21600.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077696000007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 2015539199998 + ... + 2015539200002.

Almost surely, 2^{10077696000000} is an apocalyptic number.

10077696000000 is a gapful number since it is divisible by the number (10) 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 10077696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894829822770).

10077696000000 is an abundant number, since it is smaller than the sum of its proper divisors (27711963645540).

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

10077696000000 is an frugal number, since it uses more digits than its factorization.

10077696000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10077696000000 in words is "ten trillion, seventy-seven billion, six hundred ninety-six million", and thus it is an aban number.