203113988797680 has 320 divisors, whose sum is σ = 736533483840000. Its totient is φ = 51306262990848.

The previous prime is 203113988797631. The next prime is 203113988797721. The reversal of 203113988797680 is 86797889311302.

203113988797680 is a `hidden beast` number, since 2 + 0 + 3 + 11 + 398 + 87 + 9 + 76 + 80 = 666.

203113988797680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 203113988797599 and 203113988797608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315645544 + ... + 316288376.

It is an arithmetic number, because the mean of its divisors is an integer number (2301667137000).

Almost surely, 2^{203113988797680} is an apocalyptic number.

203113988797680 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 203113988797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368266741920000).

203113988797680 is an abundant number, since it is smaller than the sum of its proper divisors (533419495042320).

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

203113988797680 is a wasteful number, since it uses less digits than its factorization.

203113988797680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650573 (or 650561 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 203113988797680 in words is "two hundred three trillion, one hundred thirteen billion, nine hundred eighty-eight million, seven hundred ninety-seven thousand, six hundred eighty".