1534380076800 has 486 divisors, whose sum is σ = 5616687482952. Its totient is φ = 399624744960.

The previous prime is 1534380076799. The next prime is 1534380076813. The reversal of 1534380076800 is 86700834351.

1534380076800 is a `hidden beast` number, since 1 + 534 + 38 + 0 + 0 + 7 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106495197 + ... + 106509603.

Almost surely, 2^{1534380076800} is an apocalyptic number.

1534380076800 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 1534380076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808343741476).

1534380076800 is an abundant number, since it is smaller than the sum of its proper divisors (4082307406152).

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

1534380076800 is a wasteful number, since it uses less digits than its factorization.

1534380076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1534380076800 in words is "one trillion, five hundred thirty-four billion, three hundred eighty million, seventy-six thousand, eight hundred".