355687428096 has 2184 divisors, whose sum is σ = 1543169852784. Its totient is φ = 80263249920.

The previous prime is 355687428077. The next prime is 355687428119. The reversal of 355687428096 is 690824786553.

It is a happy number.

355687428096 is a `hidden beast` number, since 3 + 556 + 8 + 74 + 2 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20922789880 + ... + 20922789896.

Almost surely, 2^355687428096 is an apocalyptic number.

355687428096 is a gapful number since it is divisible by the number (36) 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 355687428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771584926392).

355687428096 is an abundant number, since it is smaller than the sum of its proper divisors (1187482424688).

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

355687428096 is a wasteful number, since it uses less digits than its factorization.

355687428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 355687428096 in words is "three hundred fifty-five billion, six hundred eighty-seven million, four hundred twenty-eight thousand, ninety-six".