1613630054400 has 2688 divisors, whose sum is σ = 7280867328000. Its totient is φ = 312134860800.

The previous prime is 1613630054359. The next prime is 1613630054423. The reversal of 1613630054400 is 44500363161.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52052582385 + ... + 52052582415.

It is an arithmetic number, because the mean of its divisors is an integer number (2708656000).

Almost surely, 2^{1613630054400} is an apocalyptic number.

1613630054400 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 1613630054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640433664000).

1613630054400 is an abundant number, since it is smaller than the sum of its proper divisors (5667237273600).

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

1613630054400 is a wasteful number, since it uses less digits than its factorization.

1613630054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 1613630054400 in words is "one trillion, six hundred thirteen billion, six hundred thirty million, fifty-four thousand, four hundred".