1693135382400 has 1728 divisors, whose sum is σ = 7837631692800. Its totient is φ = 340319232000.

The previous prime is 1693135382399. The next prime is 1693135382401. The reversal of 1693135382400 is 42835313961.

1693135382400 is a `hidden beast` number, since 1 + 6 + 93 + 1 + 3 + 538 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1693135382399) and next prime (1693135382401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1693135382401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 756200481 + ... + 756202719.

Almost surely, 2^{1693135382400} is an apocalyptic number.

1693135382400 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 1693135382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918815846400).

1693135382400 is an abundant number, since it is smaller than the sum of its proper divisors (6144496310400).

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

1693135382400 is a wasteful number, since it uses less digits than its factorization.

1693135382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1693135382400 in words is "one trillion, six hundred ninety-three billion, one hundred thirty-five million, three hundred eighty-two thousand, four hundred".