57401262620000 has 720 divisors, whose sum is σ = 164551183140960. Its totient is φ = 19519850496000.

The previous prime is 57401262619973. The next prime is 57401262620059. The reversal of 57401262620000 is 2626210475.

57401262620000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9763777061 + ... + 9763782939.

It is an arithmetic number, because the mean of its divisors is an integer number (228543309918).

Almost surely, 2^{57401262620000} is an apocalyptic number.

57401262620000 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 57401262620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82275591570480).

57401262620000 is an abundant number, since it is smaller than the sum of its proper divisors (107149920520960).

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

57401262620000 is a wasteful number, since it uses less digits than its factorization.

57401262620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 57401262620000 its reverse (2626210475), we get a palindrome (57403888830475).

The spelling of 57401262620000 in words is "fifty-seven trillion, four hundred one billion, two hundred sixty-two million, six hundred twenty thousand".