57771049898016 has 288 divisors, whose sum is σ = 203486578783488. Its totient is φ = 15139273144320.

The previous prime is 57771049898011. The next prime is 57771049898047. The reversal of 57771049898016 is 61089894017775.

57771049898016 is a `hidden beast` number, since 57 + 7 + 7 + 1 + 0 + 498 + 9 + 80 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (57771049898011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2905500 + ... + 11134811.

It is an arithmetic number, because the mean of its divisors is an integer number (706550620776).

Almost surely, 2^{57771049898016} is an apocalyptic number.

57771049898016 is a gapful number since it is divisible by the number (56) 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 57771049898016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101743289391744).

57771049898016 is an abundant number, since it is smaller than the sum of its proper divisors (145715528885472).

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

57771049898016 is a wasteful number, since it uses less digits than its factorization.

57771049898016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040504 (or 14040493 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 57771049898016 in words is "fifty-seven trillion, seven hundred seventy-one billion, forty-nine million, eight hundred ninety-eight thousand, sixteen".