57269667840 has 1152 divisors, whose sum is σ = 240929095680. Its totient is φ = 11354112000.

The previous prime is 57269667839. The next prime is 57269667841. The reversal of 57269667840 is 4876696275.

It is an interprime number because it is at equal distance from previous prime (57269667839) and next prime (57269667841).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57269667841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 806615005 + ... + 806615075.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^57269667840 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 57269667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120464547840).

57269667840 is an abundant number, since it is smaller than the sum of its proper divisors (183659427840).

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

57269667840 is a wasteful number, since it uses less digits than its factorization.

57269667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 57269667840 in words is "fifty-seven billion, two hundred sixty-nine million, six hundred sixty-seven thousand, eight hundred forty".