57758627201248 has 48 divisors (see below), whose sum is σ = 116079319762560. Its totient is φ = 28281887330176.

The previous prime is 57758627201213. The next prime is 57758627201287. The reversal of 57758627201248 is 84210272685775.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57758627201248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57664090 + ... + 58657177.

It is an arithmetic number, because the mean of its divisors is an integer number (2418319161720).

Almost surely, 2^{57758627201248} is an apocalyptic number.

It is an amenable number.

57758627201248 is an abundant number, since it is smaller than the sum of its proper divisors (58320692561312).

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

57758627201248 is a wasteful number, since it uses less digits than its factorization.

57758627201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116321599 (or 116321591 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 64.

The spelling of 57758627201248 in words is "fifty-seven trillion, seven hundred fifty-eight billion, six hundred twenty-seven million, two hundred one thousand, two hundred forty-eight".