79918547400 has 192 divisors, whose sum is σ = 275489510400. Its totient is φ = 21295008000.

The previous prime is 79918547377. The next prime is 79918547461. The reversal of 79918547400 is 474581997.

79918547400 is a `hidden beast` number, since 7 + 9 + 91 + 8 + 547 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7938370 + ... + 7948430.

It is an arithmetic number, because the mean of its divisors is an integer number (1434841200).

Almost surely, 2^79918547400 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 79918547400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137744755200).

79918547400 is an abundant number, since it is smaller than the sum of its proper divisors (195570963000).

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

79918547400 is a wasteful number, since it uses less digits than its factorization.

79918547400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 79918547400 in words is "seventy-nine billion, nine hundred eighteen million, five hundred forty-seven thousand, four hundred".