57888360000 has 315 divisors, whose sum is σ = 207860145493. Its totient is φ = 15398400000.

The previous prime is 57888359993. The next prime is 57888360041. The reversal of 57888360000 is 6388875.

The square root of 57888360000 is 240600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8112965184 + 49775394816 = 90072^2 + 223104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 144359800 + ... + 144360200.

Almost surely, 2^57888360000 is an apocalyptic number.

57888360000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57888360000 is the 240600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57888360000

57888360000 is an abundant number, since it is smaller than the sum of its proper divisors (149971785493).

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

57888360000 is an frugal number, since it uses more digits than its factorization.

57888360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 57888360000 in words is "fifty-seven billion, eight hundred eighty-eight million, three hundred sixty thousand".