1354312555200 has 504 divisors, whose sum is σ = 5303195881776. Its totient is φ = 325063680000.

The previous prime is 1354312555199. The next prime is 1354312555213. The reversal of 1354312555200 is 25552134531.

1354312555200 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 125 + 5 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 15956074 + ... + 16040726.

Almost surely, 2^{1354312555200} is an apocalyptic number.

1354312555200 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 1354312555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651597940888).

1354312555200 is an abundant number, since it is smaller than the sum of its proper divisors (3948883326576).

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

1354312555200 is a wasteful number, since it uses less digits than its factorization.

1354312555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84793 (or 84775 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 1354312555200 its reverse (25552134531), we get a palindrome (1379864689731).

The spelling of 1354312555200 in words is "one trillion, three hundred fifty-four billion, three hundred twelve million, five hundred fifty-five thousand, two hundred".