10204618498800 has 480 divisors, whose sum is σ = 38104676501760. Its totient is φ = 2306960179200.

The previous prime is 10204618498799. The next prime is 10204618498801. The reversal of 10204618498800 is 889481640201.

It is an interprime number because it is at equal distance from previous prime (10204618498799) and next prime (10204618498801).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204618498801) 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, 24250999 + ... + 24668201.

It is an arithmetic number, because the mean of its divisors is an integer number (79384742712).

Almost surely, 2^{10204618498800} is an apocalyptic number.

10204618498800 is a gapful number since it is divisible by the number (10) 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 10204618498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052338250880).

10204618498800 is an abundant number, since it is smaller than the sum of its proper divisors (27900058002960).

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

10204618498800 is a wasteful number, since it uses less digits than its factorization.

10204618498800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417361 (or 417350 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 10204618498800 in words is "ten trillion, two hundred four billion, six hundred eighteen million, four hundred ninety-eight thousand, eight hundred".