1613900090880 has 1680 divisors, whose sum is σ = 7295239762272. Its totient is φ = 335027404800.

The previous prime is 1613900090851. The next prime is 1613900090923. The reversal of 1613900090880 is 880900093161.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1580704770 + ... + 1580705790.

Almost surely, 2^{1613900090880} is an apocalyptic number.

1613900090880 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 1613900090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647619881136).

1613900090880 is an abundant number, since it is smaller than the sum of its proper divisors (5681339671392).

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

1613900090880 is an equidigital number, since it uses as much as digits as its factorization.

1613900090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1613900090880 in words is "one trillion, six hundred thirteen billion, nine hundred million, ninety thousand, eight hundred eighty".