79985995493121 has 45 divisors (see below), whose sum is σ = 122087356505521. Its totient is φ = 52186975464888.

The previous prime is 79985995493099. The next prime is 79985995493143. The reversal of 79985995493121 is 12139459958997.

The square root of 79985995493121 is 8943489.

It is a perfect power (a square), and thus also a powerful number.

79985995493121 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 59 + 9 + 549 + 3 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (79985995493099) and next prime (79985995493143).

It is not a de Polignac number, because 79985995493121 - 2⁷ = 79985995492993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79985995493221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3783085276 + ... + 3783106418.

Almost surely, 2^{79985995493121} is an apocalyptic number.

79985995493121 is the 8943489-th square number.

79985995493121 is the 4471745-th centered octagonal number.

It is an amenable number.

79985995493121 is a deficient number, since it is larger than the sum of its proper divisors (42101361012400).

79985995493121 is an frugal number, since it uses more digits than its factorization.

79985995493121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42392 (or 21193 counting only the distinct ones).

The product of its digits is 1984046400, while the sum is 81.

79985995493121 divided by its sum of digits (81) gives a square (987481425841 = 993721²).

The spelling of 79985995493121 in words is "seventy-nine trillion, nine hundred eighty-five billion, nine hundred ninety-five million, four hundred ninety-three thousand, one hundred twenty-one".