57260034000 has 1280 divisors, whose sum is σ = 239834649600. Its totient is φ = 13101004800.

The previous prime is 57260033951. The next prime is 57260034037. The reversal of 57260034000 is 43006275.

It is a happy number.

57260034000 is a `hidden beast` number, since 57 + 2 + 600 + 3 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×57260034000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1080377974 + ... + 1080378026.

It is an arithmetic number, because the mean of its divisors is an integer number (187370820).

Almost surely, 2^57260034000 is an apocalyptic number.

57260034000 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 57260034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119917324800).

57260034000 is an abundant number, since it is smaller than the sum of its proper divisors (182574615600).

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

57260034000 is a wasteful number, since it uses less digits than its factorization.

57260034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 57260034000 in words is "fifty-seven billion, two hundred sixty million, thirty-four thousand".