57838629486150 has 480 divisors, whose sum is σ = 165856335765120. Its totient is φ = 14935269888000.

The previous prime is 57838629486149. The next prime is 57838629486203. The reversal of 57838629486150 is 5168492683875.

57838629486150 is a `hidden beast` number, since 5 + 7 + 8 + 38 + 62 + 9 + 486 + 1 + 50 = 666.

It is a super-2 number, since 2×57838629486150² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18543964291 + ... + 18543967409.

It is an arithmetic number, because the mean of its divisors is an integer number (345534032844).

It is a 1-persistent number, because it is pandigital, but 2⋅57838629486150 = 115677258972300 is not.

Almost surely, 2^{57838629486150} is an apocalyptic number.

57838629486150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57838629486150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82928167882560).

57838629486150 is an abundant number, since it is smaller than the sum of its proper divisors (108017706278970).

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

57838629486150 is a wasteful number, since it uses less digits than its factorization.

57838629486150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 57838629486150 in words is "fifty-seven trillion, eight hundred thirty-eight billion, six hundred twenty-nine million, four hundred eighty-six thousand, one hundred fifty".