57062613840400 has 405 divisors, whose sum is σ = 161756510196141. Its totient is φ = 19288392963840.

The previous prime is 57062613840347. The next prime is 57062613840443. The reversal of 57062613840400 is 404831626075.

The square root of 57062613840400 is 7553980.

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

It can be written as a sum of positive squares in only one way, i.e., 20542540982544 + 36520072857856 = 4532388^2 + 6043184^2 .

It is a super-2 number, since 2×57062613840400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 83547018459 + ... + 83547019141.

Almost surely, 2^{57062613840400} is an apocalyptic number.

57062613840400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57062613840400 is the 7553980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57062613840400

57062613840400 is an abundant number, since it is smaller than the sum of its proper divisors (104693896355741).

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

57062613840400 is an frugal number, since it uses more digits than its factorization.

57062613840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 57062613840400 in words is "fifty-seven trillion, sixty-two billion, six hundred thirteen million, eight hundred forty thousand, four hundred".