79170690950400 has 432 divisors, whose sum is σ = 298862800556544. Its totient is φ = 18080562339840.

The previous prime is 79170690950389. The next prime is 79170690950437. The reversal of 79170690950400 is 405909607197.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156053947 + ... + 156560453.

Almost surely, 2^{79170690950400} is an apocalyptic number.

79170690950400 is a gapful number since it is divisible by the number (70) 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 79170690950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149431400278272).

79170690950400 is an abundant number, since it is smaller than the sum of its proper divisors (219692109606144).

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

79170690950400 is a wasteful number, since it uses less digits than its factorization.

79170690950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507706 (or 507687 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 79170690950400 in words is "seventy-nine trillion, one hundred seventy billion, six hundred ninety million, nine hundred fifty thousand, four hundred".