77157197365248 has 2880 divisors, whose sum is σ = 321147838222848. Its totient is φ = 17177184829440.

The previous prime is 77157197365219. The next prime is 77157197365267. The reversal of 77157197365248 is 84256379175177.

77157197365248 is a `hidden beast` number, since 7 + 7 + 1 + 5 + 7 + 1 + 97 + 3 + 6 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243398098786 + ... + 243398099102.

Almost surely, 2^{77157197365248} is an apocalyptic number.

77157197365248 is a gapful number since it is divisible by the number (78) 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 77157197365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160573919111424).

77157197365248 is an abundant number, since it is smaller than the sum of its proper divisors (243990640857600).

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

77157197365248 is a wasteful number, since it uses less digits than its factorization.

77157197365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 77157197365248 in words is "seventy-seven trillion, one hundred fifty-seven billion, one hundred ninety-seven million, three hundred sixty-five thousand, two hundred forty-eight".