1258540292016 has 640 divisors, whose sum is σ = 4422688358400. Its totient is φ = 334917918720.

The previous prime is 1258540291991. The next prime is 1258540292039. The reversal of 1258540292016 is 6102920458521.

1258540292016 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 540 + 2 + 92 + 0 + 16 = 666.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1242388726 + ... + 1242389738.

It is an arithmetic number, because the mean of its divisors is an integer number (6910450560).

Almost surely, 2^{1258540292016} is an apocalyptic number.

1258540292016 is a gapful number since it is divisible by the number (16) 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 1258540292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211344179200).

1258540292016 is an abundant number, since it is smaller than the sum of its proper divisors (3164148066384).

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

1258540292016 is a wasteful number, since it uses less digits than its factorization.

1258540292016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1258540292016 in words is "one trillion, two hundred fifty-eight billion, five hundred forty million, two hundred ninety-two thousand, sixteen".