35857778480 has 80 divisors (see below), whose sum is σ = 86295369600. Its totient is φ = 13840296960.

The previous prime is 35857778471. The next prime is 35857778501. The reversal of 35857778480 is 8487775853.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×35857778480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149241 + ... + 5156199.

It is an arithmetic number, because the mean of its divisors is an integer number (1078692120).

Almost surely, 2^35857778480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35857778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43147684800).

35857778480 is an abundant number, since it is smaller than the sum of its proper divisors (50437591120).

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

35857778480 is a wasteful number, since it uses less digits than its factorization.

35857778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 62.

The spelling of 35857778480 in words is "thirty-five billion, eight hundred fifty-seven million, seven hundred seventy-eight thousand, four hundred eighty".