1252149857280 has 2112 divisors, whose sum is σ = 5484099686400. Its totient is φ = 269773701120.

The previous prime is 1252149857263. The next prime is 1252149857291. The reversal of 1252149857280 is 827589412521.

It is a happy number.

1252149857280 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 1 + 498 + 5 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14069099476 + ... + 14069099564.

Almost surely, 2^{1252149857280} is an apocalyptic number.

1252149857280 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 1252149857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742049843200).

1252149857280 is an abundant number, since it is smaller than the sum of its proper divisors (4231949829120).

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

1252149857280 is a wasteful number, since it uses less digits than its factorization.

1252149857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1252149857280 in words is "one trillion, two hundred fifty-two billion, one hundred forty-nine million, eight hundred fifty-seven thousand, two hundred eighty".