1935950953104 has 160 divisors (see below), whose sum is σ = 6352286403840. Its totient is φ = 552994034688.

The previous prime is 1935950953073. The next prime is 1935950953129. The reversal of 1935950953104 is 4013590595391.

1935950953104 is a `hidden beast` number, since 1 + 9 + 3 + 59 + 50 + 9 + 531 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12676302 + ... + 12828114.

It is an arithmetic number, because the mean of its divisors is an integer number (39701790024).

Almost surely, 2^{1935950953104} is an apocalyptic number.

1935950953104 is a gapful number since it is divisible by the number (14) 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 1935950953104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176143201920).

1935950953104 is an abundant number, since it is smaller than the sum of its proper divisors (4416335450736).

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

1935950953104 is a wasteful number, since it uses less digits than its factorization.

1935950953104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156054 (or 156042 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 1935950953104 in words is "one trillion, nine hundred thirty-five billion, nine hundred fifty million, nine hundred fifty-three thousand, one hundred four".