1620054000432 has 400 divisors, whose sum is σ = 5403816633600. Its totient is φ = 458995299840.

The previous prime is 1620054000391. The next prime is 1620054000449. The reversal of 1620054000432 is 2340004500261.

1620054000432 is a `hidden beast` number, since 1 + 620 + 0 + 5 + 4 + 0 + 0 + 0 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1620054000396 and 1620054000405.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 680407882 + ... + 680410262.

It is an arithmetic number, because the mean of its divisors is an integer number (13509541584).

Almost surely, 2^{1620054000432} is an apocalyptic number.

1620054000432 is a gapful number since it is divisible by the number (12) 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 1620054000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701908316800).

1620054000432 is an abundant number, since it is smaller than the sum of its proper divisors (3783762633168).

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

1620054000432 is a wasteful number, since it uses less digits than its factorization.

1620054000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1620054000432 its reverse (2340004500261), we get a palindrome (3960058500693).

The spelling of 1620054000432 in words is "one trillion, six hundred twenty billion, fifty-four million, four hundred thirty-two", and thus it is an aban number.