77953972005 has 192 divisors, whose sum is σ = 177843714048. Its totient is φ = 30650572800.

The previous prime is 77953971983. The next prime is 77953972037. The reversal of 77953972005 is 50027935977.

It is not a de Polignac number, because 77953972005 - 2⁶ = 77953971941 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7025572 + ... + 7036658.

It is an arithmetic number, because the mean of its divisors is an integer number (926269344).

Almost surely, 2^77953972005 is an apocalyptic number.

It is an amenable number.

77953972005 is an abundant number, since it is smaller than the sum of its proper divisors (99889742043).

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

77953972005 is a wasteful number, since it uses less digits than its factorization.

77953972005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 77953972005 in words is "seventy-seven billion, nine hundred fifty-three million, nine hundred seventy-two thousand, five".