1351238260800 has 1344 divisors, whose sum is σ = 5076772208640. Its totient is φ = 312947712000.

The previous prime is 1351238260793. The next prime is 1351238260807. The reversal of 1351238260800 is 80628321531.

It is an interprime number because it is at equal distance from previous prime (1351238260793) and next prime (1351238260807).

It is not an unprimeable number, because it can be changed into a prime (1351238260807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6403972695 + ... + 6403972905.

Almost surely, 2^{1351238260800} is an apocalyptic number.

1351238260800 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 1351238260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538386104320).

1351238260800 is an abundant number, since it is smaller than the sum of its proper divisors (3725533947840).

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

1351238260800 is a wasteful number, since it uses less digits than its factorization.

1351238260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1351238260800 in words is "one trillion, three hundred fifty-one billion, two hundred thirty-eight million, two hundred sixty thousand, eight hundred".