35425381095900 has 252 divisors, whose sum is σ = 118974862246464. Its totient is φ = 9142033248000.

The previous prime is 35425381095781. The next prime is 35425381095901. The reversal of 35425381095900 is 959018352453.

35425381095900 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 5 + 38 + 10 + 9 + 590 + 0 = 666.

It is a super-3 number, since 3×35425381095900³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35425381095901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5577921 + ... + 10097720.

It is an arithmetic number, because the mean of its divisors is an integer number (472122469232).

Almost surely, 2^{35425381095900} is an apocalyptic number.

35425381095900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35425381095900 is an abundant number, since it is smaller than the sum of its proper divisors (83549481150564).

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

35425381095900 is a wasteful number, since it uses less digits than its factorization.

35425381095900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15675704 (or 15675682 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 35425381095900 in words is "thirty-five trillion, four hundred twenty-five billion, three hundred eighty-one million, ninety-five thousand, nine hundred".