100039398497280 has 2112 divisors, whose sum is σ = 414693016657920. Its totient is φ = 22015062835200.

The previous prime is 100039398497279. The next prime is 100039398497299. The reversal of 100039398497280 is 82794893930001.

100039398497280 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 39 + 3 + 98 + 497 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130090244736 + ... + 130090245504.

It is an arithmetic number, because the mean of its divisors is an integer number (196350860160).

Almost surely, 2^{100039398497280} is an apocalyptic number.

100039398497280 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 100039398497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207346508328960).

100039398497280 is an abundant number, since it is smaller than the sum of its proper divisors (314653618160640).

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

100039398497280 is a wasteful number, since it uses less digits than its factorization.

100039398497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 100039398497280 in words is "one hundred trillion, thirty-nine billion, three hundred ninety-eight million, four hundred ninety-seven thousand, two hundred eighty".