57773766610560 has 3072 divisors, whose sum is σ = 261704679667200. Its totient is φ = 10643798753280.

The previous prime is 57773766610543. The next prime is 57773766610561. The reversal of 57773766610560 is 6501666737775.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 57773766610491 and 57773766610500.

It is not an unprimeable number, because it can be changed into a prime (57773766610561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145525860282 + ... + 145525860678.

Almost surely, 2^{57773766610560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57773766610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130852339833600).

57773766610560 is an abundant number, since it is smaller than the sum of its proper divisors (203930913056640).

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

57773766610560 is a wasteful number, since it uses less digits than its factorization.

57773766610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 233377200, while the sum is 66.

The spelling of 57773766610560 in words is "fifty-seven trillion, seven hundred seventy-three billion, seven hundred sixty-six million, six hundred ten thousand, five hundred sixty".