20145919584 has 144 divisors (see below), whose sum is σ = 61739976816. Its totient is φ = 5735116800.

The previous prime is 20145919571. The next prime is 20145919769. The reversal of 20145919584 is 48591954102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314204 + ... + 1329444.

It is an arithmetic number, because the mean of its divisors is an integer number (428749839).

Almost surely, 2^20145919584 is an apocalyptic number.

20145919584 is a gapful number since it is divisible by the number (24) 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 20145919584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30869988408).

20145919584 is an abundant number, since it is smaller than the sum of its proper divisors (41594057232).

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

20145919584 is a wasteful number, since it uses less digits than its factorization.

20145919584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15549 (or 15534 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 20145919584 in words is "twenty billion, one hundred forty-five million, nine hundred nineteen thousand, five hundred eighty-four".