49427644186872 has 768 divisors, whose sum is σ = 160937012920320. Its totient is φ = 13414076928000.

The previous prime is 49427644186861. The next prime is 49427644186903. The reversal of 49427644186872 is 27868144672494.

49427644186872 is a `hidden beast` number, since 4 + 9 + 4 + 27 + 6 + 441 + 86 + 87 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49427644186872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55976946543 + ... + 55976947425.

It is an arithmetic number, because the mean of its divisors is an integer number (209553402240).

Almost surely, 2^{49427644186872} is an apocalyptic number.

49427644186872 is a gapful number since it is divisible by the number (42) 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 49427644186872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80468506460160).

49427644186872 is an abundant number, since it is smaller than the sum of its proper divisors (111509368733448).

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

49427644186872 is a wasteful number, since it uses less digits than its factorization.

49427644186872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1497 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 49427644186872 in words is "forty-nine trillion, four hundred twenty-seven billion, six hundred forty-four million, one hundred eighty-six thousand, eight hundred seventy-two".