20295940407600 has 480 divisors, whose sum is σ = 77456695454208. Its totient is φ = 4477777920000.

The previous prime is 20295940407577. The next prime is 20295940407601. The reversal of 20295940407600 is 670404959202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20295940407600.

It is not an unprimeable number, because it can be changed into a prime (20295940407601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11350680 + ... + 13016520.

Almost surely, 2^{20295940407600} is an apocalyptic number.

20295940407600 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 20295940407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38728347727104).

20295940407600 is an abundant number, since it is smaller than the sum of its proper divisors (57160755046608).

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

20295940407600 is a wasteful number, since it uses less digits than its factorization.

20295940407600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665957 (or 1665946 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20295940407600 in words is "twenty trillion, two hundred ninety-five billion, nine hundred forty million, four hundred seven thousand, six hundred".