10203415879680 has 672 divisors, whose sum is σ = 36852168697344. Its totient is φ = 2708120272896.

The previous prime is 10203415879669. The next prime is 10203415879681. The reversal of 10203415879680 is 8697851430201.

10203415879680 is a `hidden beast` number, since 1 + 0 + 20 + 34 + 1 + 587 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×10203415879680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10203415879681) 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, 2219579142 + ... + 2219583738.

It is an arithmetic number, because the mean of its divisors is an integer number (54839536752).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10203415879680 = 20406831759360, but 3⋅10203415879680 = 30610247639040 is not.

Almost surely, 2^{10203415879680} is an apocalyptic number.

10203415879680 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 10203415879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426084348672).

10203415879680 is an abundant number, since it is smaller than the sum of its proper divisors (26648752817664).

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

10203415879680 is an frugal number, since it uses more digits than its factorization.

10203415879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10203415879680 in words is "ten trillion, two hundred three billion, four hundred fifteen million, eight hundred seventy-nine thousand, six hundred eighty".