49176647493120 has 2880 divisors, whose sum is σ = 217621969963200. Its totient is φ = 10482529075200.

The previous prime is 49176647493059. The next prime is 49176647493137. The reversal of 49176647493120 is 2139474667194.

49176647493120 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 66 + 474 + 93 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94388958460 + ... + 94388958980.

It is an arithmetic number, because the mean of its divisors is an integer number (75563184015).

Almost surely, 2^{49176647493120} is an apocalyptic number.

49176647493120 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 49176647493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810984981600).

49176647493120 is an abundant number, since it is smaller than the sum of its proper divisors (168445322470080).

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

49176647493120 is a wasteful number, since it uses less digits than its factorization.

49176647493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 49176647493120 in words is "forty-nine trillion, one hundred seventy-six billion, six hundred forty-seven million, four hundred ninety-three thousand, one hundred twenty".