20903519197440 has 720 divisors, whose sum is σ = 86396169404160. Its totient is φ = 4769425981440.

The previous prime is 20903519197387. The next prime is 20903519197453. The reversal of 20903519197440 is 4479191530902.

20903519197440 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 3 + 5 + 1 + 9 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20903519197440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18849081 + ... + 19927239.

It is an arithmetic number, because the mean of its divisors is an integer number (119994679728).

Almost surely, 2^{20903519197440} is an apocalyptic number.

20903519197440 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 20903519197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43198084702080).

20903519197440 is an abundant number, since it is smaller than the sum of its proper divisors (65492650206720).

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

20903519197440 is a wasteful number, since it uses less digits than its factorization.

20903519197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078220 (or 1078197 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 20903519197440 in words is "twenty trillion, nine hundred three billion, five hundred nineteen million, one hundred ninety-seven thousand, four hundred forty".