57211434000 has 960 divisors, whose sum is σ = 241316554752. Its totient is φ = 12830400000.

The previous prime is 57211433987. The next prime is 57211434011. The reversal of 57211434000 is 43411275.

57211434000 is a `hidden beast` number, since 5 + 7 + 211 + 43 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227933875 + ... + 227934125.

Almost surely, 2^57211434000 is an apocalyptic number.

57211434000 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 57211434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120658277376).

57211434000 is an abundant number, since it is smaller than the sum of its proper divisors (184105120752).

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

57211434000 is a wasteful number, since it uses less digits than its factorization.

57211434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 57211434000 its reverse (43411275), we get a palindrome (57254845275).

The spelling of 57211434000 in words is "fifty-seven billion, two hundred eleven million, four hundred thirty-four thousand".