57435364140 has 192 divisors, whose sum is σ = 205392595968. Its totient is φ = 11643494400.

The previous prime is 57435364117. The next prime is 57435364163. The reversal of 57435364140 is 4146353475.

It is an interprime number because it is at equal distance from previous prime (57435364117) and next prime (57435364163).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57435364092 and 57435364101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37812 + ... + 341028.

It is an arithmetic number, because the mean of its divisors is an integer number (1069753104).

Almost surely, 2^57435364140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57435364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102696297984).

57435364140 is an abundant number, since it is smaller than the sum of its proper divisors (147957231828).

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

57435364140 is a wasteful number, since it uses less digits than its factorization.

57435364140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303288 (or 303286 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 57435364140 in words is "fifty-seven billion, four hundred thirty-five million, three hundred sixty-four thousand, one hundred forty".