9877426286400 has 2688 divisors, whose sum is σ = 40701257809920. Its totient is φ = 2350118707200.

The previous prime is 9877426286393. The next prime is 9877426286443. The reversal of 9877426286400 is 46826247789.

9877426286400 is a `hidden beast` number, since 9 + 87 + 74 + 2 + 6 + 2 + 86 + 400 = 666.

9877426286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92312395147 + ... + 92312395253.

Almost surely, 2^{9877426286400} is an apocalyptic number.

9877426286400 is a gapful number since it is divisible by the number (90) 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 9877426286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350628904960).

9877426286400 is an abundant number, since it is smaller than the sum of its proper divisors (30823831523520).

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

9877426286400 is a wasteful number, since it uses less digits than its factorization.

9877426286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 9877426286400 in words is "nine trillion, eight hundred seventy-seven billion, four hundred twenty-six million, two hundred eighty-six thousand, four hundred".