1953875250096 has 240 divisors, whose sum is σ = 6626253392640. Its totient is φ = 489999874560.

The previous prime is 1953875250083. The next prime is 1953875250133. The reversal of 1953875250096 is 6900525783591.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 551796 + ... + 2052371.

It is an arithmetic number, because the mean of its divisors is an integer number (27609389136).

Almost surely, 2^{1953875250096} is an apocalyptic number.

1953875250096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1953875250096 is an abundant number, since it is smaller than the sum of its proper divisors (4672378142544).

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

1953875250096 is a wasteful number, since it uses less digits than its factorization.

1953875250096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604232 (or 2604219 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 60.

The spelling of 1953875250096 in words is "one trillion, nine hundred fifty-three billion, eight hundred seventy-five million, two hundred fifty thousand, ninety-six".