786126735012816 has 120 divisors (see below), whose sum is σ = 2315872239333120. Its totient is φ = 248248786272768.

The previous prime is 786126735012719. The next prime is 786126735012833. The reversal of 786126735012816 is 618210537621687.

It is a happy number.

786126735012816 is a `hidden beast` number, since 7 + 8 + 6 + 1 + 26 + 73 + 501 + 28 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415741281 + ... + 417627903.

It is an arithmetic number, because the mean of its divisors is an integer number (19298935327776).

Almost surely, 2^{786126735012816} is an apocalyptic number.

786126735012816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

786126735012816 is an abundant number, since it is smaller than the sum of its proper divisors (1529745504320304).

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

786126735012816 is a wasteful number, since it uses less digits than its factorization.

786126735012816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038953 (or 2038944 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 786126735012816 in words is "seven hundred eighty-six trillion, one hundred twenty-six billion, seven hundred thirty-five million, twelve thousand, eight hundred sixteen".