57153156144 has 160 divisors (see below), whose sum is σ = 170073686016. Its totient is φ = 16200695040.

The previous prime is 57153156101. The next prime is 57153156157. The reversal of 57153156144 is 44165135175.

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 = 57153156096 and 57153156105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29969239 + ... + 29971145.

Almost surely, 2^57153156144 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 57153156144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85036843008).

57153156144 is an abundant number, since it is smaller than the sum of its proper divisors (112920529872).

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

57153156144 is a wasteful number, since it uses less digits than its factorization.

57153156144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The spelling of 57153156144 in words is "fifty-seven billion, one hundred fifty-three million, one hundred fifty-six thousand, one hundred forty-four".