1350074754000 has 1920 divisors, whose sum is σ = 6137928576000. Its totient is φ = 274743705600.

The previous prime is 1350074753999. The next prime is 1350074754013. The reversal of 1350074754000 is 4574700531.

It is a happy number.

1350074754000 is a `hidden beast` number, since 13 + 500 + 74 + 75 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1994201662 + ... + 1994202338.

It is an arithmetic number, because the mean of its divisors is an integer number (3196837800).

Almost surely, 2^{1350074754000} is an apocalyptic number.

1350074754000 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 1350074754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068964288000).

1350074754000 is an abundant number, since it is smaller than the sum of its proper divisors (4787853822000).

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

1350074754000 is a wasteful number, since it uses less digits than its factorization.

1350074754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 1350074754000 in words is "one trillion, three hundred fifty billion, seventy-four million, seven hundred fifty-four thousand".