47879780659200 has 2808 divisors, whose sum is σ = 209385417975552. Its totient is φ = 10812128624640.

The previous prime is 47879780659147. The next prime is 47879780659211. The reversal of 47879780659200 is 295608797874.

47879780659200 is a `hidden beast` number, since 478 + 7 + 9 + 7 + 8 + 0 + 65 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130462617417 + ... + 130462617783.

It is an arithmetic number, because the mean of its divisors is an integer number (74567456544).

Almost surely, 2^{47879780659200} is an apocalyptic number.

47879780659200 is a gapful number since it is divisible by the number (40) 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 47879780659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104692708987776).

47879780659200 is an abundant number, since it is smaller than the sum of its proper divisors (161505637316352).

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

47879780659200 is a wasteful number, since it uses less digits than its factorization.

47879780659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 47879780659200 in words is "forty-seven trillion, eight hundred seventy-nine billion, seven hundred eighty million, six hundred fifty-nine thousand, two hundred".