77815130581152 has 96 divisors (see below), whose sum is σ = 227487389794560. Its totient is φ = 25878194887680.

The previous prime is 77815130581129. The next prime is 77815130581183. The reversal of 77815130581152 is 25118503151877.

77815130581152 is a `hidden beast` number, since 7 + 7 + 8 + 1 + 5 + 1 + 3 + 0 + 581 + 1 + 52 = 666.

77815130581152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104109993 + ... + 104854760.

It is an arithmetic number, because the mean of its divisors is an integer number (2369660310360).

Almost surely, 2^{77815130581152} is an apocalyptic number.

77815130581152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77815130581152 is an abundant number, since it is smaller than the sum of its proper divisors (149672259213408).

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

77815130581152 is a wasteful number, since it uses less digits than its factorization.

77815130581152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208965203 (or 208965189 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 77815130581152 in words is "seventy-seven trillion, eight hundred fifteen billion, one hundred thirty million, five hundred eighty-one thousand, one hundred fifty-two".