1010787273216 has 480 divisors, whose sum is σ = 3380684955648. Its totient is φ = 284773294080.

The previous prime is 1010787273161. The next prime is 1010787273257. The reversal of 1010787273216 is 6123727870101.

1010787273216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019966481 + ... + 1019967471.

Almost surely, 2^{1010787273216} is an apocalyptic number.

1010787273216 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 1010787273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690342477824).

1010787273216 is an abundant number, since it is smaller than the sum of its proper divisors (2369897682432).

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

1010787273216 is a wasteful number, since it uses less digits than its factorization.

1010787273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

It can be divided in two parts, 1010787 and 273216, that added together give a triangular number (1284003 = T₁₆₀₂).

The spelling of 1010787273216 in words is "one trillion, ten billion, seven hundred eighty-seven million, two hundred seventy-three thousand, two hundred sixteen".