20737340106400 has 288 divisors, whose sum is σ = 51142252936320. Its totient is φ = 8210823966720.

The previous prime is 20737340106391. The next prime is 20737340106409. The reversal of 20737340106400 is 460104373702.

It is an interprime number because it is at equal distance from previous prime (20737340106391) and next prime (20737340106409).

It is a self number, because there is not a number n which added to its sum of digits gives 20737340106400.

It is not an unprimeable number, because it can be changed into a prime (20737340106409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42581806957 + ... + 42581807443.

It is an arithmetic number, because the mean of its divisors is an integer number (177577267140).

Almost surely, 2^{20737340106400} is an apocalyptic number.

20737340106400 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 20737340106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571126468160).

20737340106400 is an abundant number, since it is smaller than the sum of its proper divisors (30404912829920).

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

20737340106400 is a wasteful number, since it uses less digits than its factorization.

20737340106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 20737340106400 in words is "twenty trillion, seven hundred thirty-seven billion, three hundred forty million, one hundred six thousand, four hundred".