77866346781025 has 192 divisors, whose sum is σ = 112544842383360. Its totient is φ = 52908464000000.

The previous prime is 77866346781019. The next prime is 77866346781073. The reversal of 77866346781025 is 52018764366877.

It is not a de Polignac number, because 77866346781025 - 2³ = 77866346781017 is a prime.

It is a super-2 number, since 2×77866346781025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43573780182 + ... + 43573781968.

It is an arithmetic number, because the mean of its divisors is an integer number (586171054080).

Almost surely, 2^{77866346781025} is an apocalyptic number.

It is an amenable number.

77866346781025 is a deficient number, since it is larger than the sum of its proper divisors (34678495602335).

77866346781025 is a wasteful number, since it uses less digits than its factorization.

77866346781025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 70.

The spelling of 77866346781025 in words is "seventy-seven trillion, eight hundred sixty-six billion, three hundred forty-six million, seven hundred eighty-one thousand, twenty-five".