1953849406510 has 192 divisors, whose sum is σ = 4067136000000. Its totient is φ = 673100513280.

The previous prime is 1953849406507. The next prime is 1953849406549. The reversal of 1953849406510 is 156049483591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1564330366 + ... + 1564331614.

It is an arithmetic number, because the mean of its divisors is an integer number (21183000000).

Almost surely, 2^{1953849406510} is an apocalyptic number.

1953849406510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1953849406510 is an abundant number, since it is smaller than the sum of its proper divisors (2113286593490).

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

1953849406510 is a wasteful number, since it uses less digits than its factorization.

1953849406510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 1953849406510 in words is "one trillion, nine hundred fifty-three billion, eight hundred forty-nine million, four hundred six thousand, five hundred ten".