57780450000 has 1440 divisors, whose sum is σ = 266567438592. Its totient is φ = 11335680000.

The previous prime is 57780449981. The next prime is 57780450089. The reversal of 57780450000 is 5408775.

57780450000 is a `hidden beast` number, since 5 + 77 + 80 + 4 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 696149959 + ... + 696150041.

Almost surely, 2^57780450000 is an apocalyptic number.

57780450000 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 57780450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133283719296).

57780450000 is an abundant number, since it is smaller than the sum of its proper divisors (208786988592).

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

57780450000 is a wasteful number, since it uses less digits than its factorization.

57780450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 57780450000 its reverse (5408775), we get a palindrome (57785858775).

The spelling of 57780450000 in words is "fifty-seven billion, seven hundred eighty million, four hundred fifty thousand".