77859047341152 has 144 divisors (see below), whose sum is σ = 276045713379072. Its totient is φ = 20223129173760.

The previous prime is 77859047341067. The next prime is 77859047341169. The reversal of 77859047341152 is 25114374095877.

77859047341152 is a `hidden beast` number, since 7 + 7 + 8 + 5 + 9 + 0 + 473 + 4 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77859047341152.

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, 1755457788 + ... + 1755502139.

It is an arithmetic number, because the mean of its divisors is an integer number (1916984120688).

Almost surely, 2^{77859047341152} is an apocalyptic number.

77859047341152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77859047341152 is an abundant number, since it is smaller than the sum of its proper divisors (198186666037920).

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

77859047341152 is a wasteful number, since it uses less digits than its factorization.

77859047341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510959961 (or 3510959950 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 77859047341152 in words is "seventy-seven trillion, eight hundred fifty-nine billion, forty-seven million, three hundred forty-one thousand, one hundred fifty-two".