35997255771480 has 640 divisors, whose sum is σ = 127245938688000. Its totient is φ = 9115947878400.

The previous prime is 35997255771457. The next prime is 35997255771497. The reversal of 35997255771480 is 8417755279953.

It is a happy number.

35997255771480 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 7 + 2 + 5 + 577 + 1 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35997255771399 and 35997255771408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1459079545 + ... + 1459104215.

It is an arithmetic number, because the mean of its divisors is an integer number (198821779200).

Almost surely, 2^{35997255771480} is an apocalyptic number.

35997255771480 is a gapful number since it is divisible by the number (30) 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 35997255771480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622969344000).

35997255771480 is an abundant number, since it is smaller than the sum of its proper divisors (91248682916520).

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

35997255771480 is a wasteful number, since it uses less digits than its factorization.

35997255771480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24997 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 72.

The spelling of 35997255771480 in words is "thirty-five trillion, nine hundred ninety-seven billion, two hundred fifty-five million, seven hundred seventy-one thousand, four hundred eighty".