1258870477392 has 480 divisors, whose sum is σ = 4103068636800. Its totient is φ = 371010378240.

The previous prime is 1258870477297. The next prime is 1258870477409. The reversal of 1258870477392 is 2937740788521.

1258870477392 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 8 + 70 + 477 + 3 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526943334 + ... + 526945722.

It is an arithmetic number, because the mean of its divisors is an integer number (8548059660).

Almost surely, 2^{1258870477392} is an apocalyptic number.

1258870477392 is a gapful number since it is divisible by the number (12) 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 1258870477392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051534318400).

1258870477392 is an abundant number, since it is smaller than the sum of its proper divisors (2844198159408).

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

1258870477392 is an equidigital number, since it uses as much as digits as its factorization.

1258870477392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 1258870477392 in words is "one trillion, two hundred fifty-eight billion, eight hundred seventy million, four hundred seventy-seven thousand, three hundred ninety-two".