57629880000 has 1890 divisors, whose sum is σ = 273704939508. Its totient is φ = 11975040000.

The previous prime is 57629879999. The next prime is 57629880037. The reversal of 57629880000 is 8892675.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 5239079995 + ... + 5239080005.

Almost surely, 2^57629880000 is an apocalyptic number.

57629880000 is a gapful number since it is divisible by the number (50) 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 57629880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136852469754).

57629880000 is an abundant number, since it is smaller than the sum of its proper divisors (216075059508).

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

57629880000 is an equidigital number, since it uses as much as digits as its factorization.

57629880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 57629880000 in words is "fifty-seven billion, six hundred twenty-nine million, eight hundred eighty thousand".