79552411200 has 672 divisors, whose sum is σ = 309542688000. Its totient is φ = 19804815360.

The previous prime is 79552411177. The next prime is 79552411283. The reversal of 79552411200 is 211425597.

79552411200 is a `hidden beast` number, since 7 + 9 + 5 + 524 + 1 + 120 + 0 = 666.

It is a super-2 number, since 2×79552411200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109425237 + ... + 109425963.

It is an arithmetic number, because the mean of its divisors is an integer number (460629000).

Almost surely, 2^79552411200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79552411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344000).

79552411200 is an abundant number, since it is smaller than the sum of its proper divisors (229990276800).

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

79552411200 is a wasteful number, since it uses less digits than its factorization.

79552411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 79552411200 its reverse (211425597), we get a palindrome (79763836797).

The spelling of 79552411200 in words is "seventy-nine billion, five hundred fifty-two million, four hundred eleven thousand, two hundred".