79948128001 has 27 divisors (see below), whose sum is σ = 96171494913. Its totient is φ = 66265524360.

The previous prime is 79948127993. The next prime is 79948128031. The reversal of 79948128001 is 10082184997.

The square root of 79948128001 is 282751.

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

It is not a de Polignac number, because 79948128001 - 2³ = 79948127993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79948128031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61356316 + ... + 61357618.

It is an arithmetic number, because the mean of its divisors is an integer number (3561907219).

Almost surely, 2^79948128001 is an apocalyptic number.

79948128001 is the 282751-st square number.

79948128001 is the 141376-th centered octagonal number.

It is an amenable number.

79948128001 is a deficient number, since it is larger than the sum of its proper divisors (16223366912).

79948128001 is an frugal number, since it uses more digits than its factorization.

79948128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

Multiplying 79948128001 by its sum of digits (49), we get a square (3917458272049 = 1979257²).

79948128001 divided by its sum of digits (49) gives a square (1631594449 = 40393²).

The spelling of 79948128001 in words is "seventy-nine billion, nine hundred forty-eight million, one hundred twenty-eight thousand, one".