838750338103680 has 96 divisors (see below), whose sum is σ = 2896309761284160. Its totient is φ = 223666756826112.

The previous prime is 838750338103651. The next prime is 838750338103789. The reversal of 838750338103680 is 86301833057838.

838750338103680 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 503 + 3 + 8 + 10 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72808183312 + ... + 72808194831.

It is an arithmetic number, because the mean of its divisors is an integer number (30169893346710).

Almost surely, 2^{838750338103680} is an apocalyptic number.

838750338103680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838750338103680 is an abundant number, since it is smaller than the sum of its proper divisors (2057559423180480).

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

838750338103680 is a wasteful number, since it uses less digits than its factorization.

838750338103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145616378168 (or 145616378153 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 838750338103680 in words is "eight hundred thirty-eight trillion, seven hundred fifty billion, three hundred thirty-eight million, one hundred three thousand, six hundred eighty".