20748735693504 has 560 divisors, whose sum is σ = 75902978910528. Its totient is φ = 5457476984832.

The previous prime is 20748735693481. The next prime is 20748735693533. The reversal of 20748735693504 is 40539653784702.

It is a happy number.

20748735693504 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 8 + 7 + 35 + 6 + 93 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175901554 + ... + 176019470.

Almost surely, 2^{20748735693504} is an apocalyptic number.

20748735693504 is a gapful number since it is divisible by the number (24) 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 20748735693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37951489455264).

20748735693504 is an abundant number, since it is smaller than the sum of its proper divisors (55154243217024).

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

20748735693504 is a wasteful number, since it uses less digits than its factorization.

20748735693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118334 (or 118315 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 20748735693504 in words is "twenty trillion, seven hundred forty-eight billion, seven hundred thirty-five million, six hundred ninety-three thousand, five hundred four".