1455986796800 has 216 divisors, whose sum is σ = 3651659716320. Its totient is φ = 574676992000.

The previous prime is 1455986796773. The next prime is 1455986796827. The reversal of 1455986796800 is 86976895541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1455986796773) and next prime (1455986796827).

It is a super-3 number, since 3×1455986796800³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770770256 + ... + 770772144.

It is an arithmetic number, because the mean of its divisors is an integer number (16905832020).

Almost surely, 2^{1455986796800} is an apocalyptic number.

1455986796800 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 1455986796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825829858160).

1455986796800 is an abundant number, since it is smaller than the sum of its proper divisors (2195672919520).

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

1455986796800 is a wasteful number, since it uses less digits than its factorization.

1455986796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 68.

The spelling of 1455986796800 in words is "one trillion, four hundred fifty-five billion, nine hundred eighty-six million, seven hundred ninety-six thousand, eight hundred".