57103261286400 has 2160 divisors, whose sum is σ = 248467180416000. Its totient is φ = 12727458201600.

The previous prime is 57103261286327. The next prime is 57103261286479. The reversal of 57103261286400 is 468216230175.

57103261286400 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 326 + 1 + 286 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28565912601 + ... + 28565914599.

Almost surely, 2^{57103261286400} is an apocalyptic number.

57103261286400 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 57103261286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124233590208000).

57103261286400 is an abundant number, since it is smaller than the sum of its proper divisors (191363919129600).

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

57103261286400 is an equidigital number, since it uses as much as digits as its factorization.

57103261286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57103261286400 in words is "fifty-seven trillion, one hundred three billion, two hundred sixty-one million, two hundred eighty-six thousand, four hundred".