1257878092128 has 216 divisors, whose sum is σ = 4053825000792. Its totient is φ = 340477820928.

The previous prime is 1257878092127. The next prime is 1257878092187. The reversal of 1257878092128 is 8212908787521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257878092123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1327776 + ... + 2068512.

It is an arithmetic number, because the mean of its divisors is an integer number (18767708337).

Almost surely, 2^{1257878092128} 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 1257878092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026912500396).

1257878092128 is an abundant number, since it is smaller than the sum of its proper divisors (2795946908664).

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

1257878092128 is a wasteful number, since it uses less digits than its factorization.

1257878092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740802 (or 740768 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 1257878092128 in words is "one trillion, two hundred fifty-seven billion, eight hundred seventy-eight million, ninety-two thousand, one hundred twenty-eight".