1251485614080 has 1428 divisors, whose sum is σ = 5033604547008. Its totient is φ = 298120642560.

The previous prime is 1251485614061. The next prime is 1251485614087. The reversal of 1251485614080 is 804165841521.

1251485614080 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 4 + 8 + 561 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1251485614087) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 40370503665 + ... + 40370503695.

Almost surely, 2^{1251485614080} is an apocalyptic number.

1251485614080 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 1251485614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516802273504).

1251485614080 is an abundant number, since it is smaller than the sum of its proper divisors (3782118932928).

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

1251485614080 is an frugal number, since it uses more digits than its factorization.

1251485614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1251485614080 in words is "one trillion, two hundred fifty-one billion, four hundred eighty-five million, six hundred fourteen thousand, eighty".