1353094384950 has 1728 divisors, whose sum is σ = 5237888467968. Its totient is φ = 251270553600.

The previous prime is 1353094384931. The next prime is 1353094384987. The reversal of 1353094384950 is 594834903531.

1353094384950 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 94 + 38 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 9876601282 + ... + 9876601418.

It is an arithmetic number, because the mean of its divisors is an integer number (3031185456).

Almost surely, 2^{1353094384950} is an apocalyptic number.

1353094384950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353094384950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618944233984).

1353094384950 is an abundant number, since it is smaller than the sum of its proper divisors (3884794083018).

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

1353094384950 is a wasteful number, since it uses less digits than its factorization.

1353094384950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1353094384950 in words is "one trillion, three hundred fifty-three billion, ninety-four million, three hundred eighty-four thousand, nine hundred fifty".