35873773056 has 480 divisors, whose sum is σ = 117405699840. Its totient is φ = 10450944000.

The previous prime is 35873773043. The next prime is 35873773057. The reversal of 35873773056 is 65037737853.

35873773056 is a `hidden beast` number, since 3 + 587 + 3 + 7 + 7 + 3 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35873772993 and 35873773011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35873773057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237574581 + ... + 237574731.

It is an arithmetic number, because the mean of its divisors is an integer number (244595208).

Almost surely, 2^35873773056 is an apocalyptic number.

35873773056 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 35873773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58702849920).

35873773056 is an abundant number, since it is smaller than the sum of its proper divisors (81531926784).

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

35873773056 is a wasteful number, since it uses less digits than its factorization.

35873773056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 35873773056 in words is "thirty-five billion, eight hundred seventy-three million, seven hundred seventy-three thousand, fifty-six".