35397999362880 has 5376 divisors, whose sum is σ = 176526895104000. Its totient is φ = 6500261560320.

The previous prime is 35397999362861. The next prime is 35397999362963. The reversal of 35397999362880 is 8826399979353.

35397999362880 is a `hidden beast` number, since 3 + 5 + 3 + 97 + 9 + 99 + 362 + 8 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35397999362880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 254661865851 + ... + 254661865989.

It is an arithmetic number, because the mean of its divisors is an integer number (32836104000).

Almost surely, 2^{35397999362880} is an apocalyptic number.

35397999362880 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 35397999362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88263447552000).

35397999362880 is an abundant number, since it is smaller than the sum of its proper divisors (141128895741120).

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

35397999362880 is a wasteful number, since it uses less digits than its factorization.

35397999362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 35397999362880 in words is "thirty-five trillion, three hundred ninety-seven billion, nine hundred ninety-nine million, three hundred sixty-two thousand, eight hundred eighty".