1259797046400 has 576 divisors, whose sum is σ = 4648095479040. Its totient is φ = 324559872000.

The previous prime is 1259797046399. The next prime is 1259797046407. The reversal of 1259797046400 is 46407979521.

1259797046400 is a `hidden beast` number, since 1 + 2 + 5 + 97 + 97 + 0 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1259797046407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975829755 + ... + 975831045.

Almost surely, 2^{1259797046400} is an apocalyptic number.

1259797046400 is a gapful number since it is divisible by the number (10) 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 1259797046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324047739520).

1259797046400 is an abundant number, since it is smaller than the sum of its proper divisors (3388298432640).

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

1259797046400 is a wasteful number, since it uses less digits than its factorization.

1259797046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1259797046400 in words is "one trillion, two hundred fifty-nine billion, seven hundred ninety-seven million, forty-six thousand, four hundred".