20958013440 has 1536 divisors, whose sum is σ = 99066240000. Its totient is φ = 4161798144.

The previous prime is 20958013397. The next prime is 20958013463. The reversal of 20958013440 is 4431085902.

20958013440 is a `hidden beast` number, since 2 + 0 + 9 + 580 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20958013395 and 20958013404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1232824312 + ... + 1232824328.

It is an arithmetic number, because the mean of its divisors is an integer number (64496250).

Almost surely, 2^20958013440 is an apocalyptic number.

20958013440 is a gapful number since it is divisible by the number (20) 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 20958013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120000).

20958013440 is an abundant number, since it is smaller than the sum of its proper divisors (78108226560).

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

20958013440 is a wasteful number, since it uses less digits than its factorization.

20958013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20958013440 in words is "twenty billion, nine hundred fifty-eight million, thirteen thousand, four hundred forty".