57007609021440 has 3168 divisors, whose sum is σ = 263030324723712. Its totient is φ = 11583627264000.

The previous prime is 57007609021411. The next prime is 57007609021457. The reversal of 57007609021440 is 4412090670075.

57007609021440 is a `hidden beast` number, since 57 + 0 + 0 + 76 + 0 + 90 + 2 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 49528764865 + ... + 49528766015.

Almost surely, 2^{57007609021440} 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 57007609021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515162361856).

57007609021440 is an abundant number, since it is smaller than the sum of its proper divisors (206022715702272).

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

57007609021440 is a wasteful number, since it uses less digits than its factorization.

57007609021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57007609021440 in words is "fifty-seven trillion, seven billion, six hundred nine million, twenty-one thousand, four hundred forty".