35540387228160 has 160 divisors (see below), whose sum is σ = 126242417378880. Its totient is φ = 9477436575744.

The previous prime is 35540387228113. The next prime is 35540387228231. The reversal of 35540387228160 is 6182278304553.

35540387228160 is a `hidden beast` number, since 3 + 5 + 5 + 403 + 8 + 7 + 228 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 35540387228097 and 35540387228106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257022802 + ... + 257161041.

It is an arithmetic number, because the mean of its divisors is an integer number (789015108618).

Almost surely, 2^{35540387228160} is an apocalyptic number.

35540387228160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35540387228160 is an abundant number, since it is smaller than the sum of its proper divisors (90702030150720).

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

35540387228160 is an equidigital number, since it uses as much as digits as its factorization.

35540387228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514183875 (or 514183853 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 35540387228160 in words is "thirty-five trillion, five hundred forty billion, three hundred eighty-seven million, two hundred twenty-eight thousand, one hundred sixty".