20400524102420 has 144 divisors (see below), whose sum is σ = 54371055211200. Its totient is φ = 6358022092800.

The previous prime is 20400524102389. The next prime is 20400524102557. The reversal of 20400524102420 is 2420142500402.

It is a self number, because there is not a number n which added to its sum of digits gives 20400524102420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126034340 + ... + 126196100.

It is an arithmetic number, because the mean of its divisors is an integer number (377576772300).

Almost surely, 2^{20400524102420} is an apocalyptic number.

20400524102420 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 20400524102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185527605600).

20400524102420 is an abundant number, since it is smaller than the sum of its proper divisors (33970531108780).

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

20400524102420 is a wasteful number, since it uses less digits than its factorization.

20400524102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173494 (or 173485 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 20400524102420 its reverse (2420142500402), we get a palindrome (22820666602822).

The spelling of 20400524102420 in words is "twenty trillion, four hundred billion, five hundred twenty-four million, one hundred two thousand, four hundred twenty".