1953749952000 has 3840 divisors, whose sum is σ = 9559959552000. Its totient is φ = 379330560000.

The previous prime is 1953749951999. The next prime is 1953749952013. The reversal of 1953749952000 is 2599473591.

1953749952000 is a `hidden beast` number, since 19 + 537 + 4 + 9 + 95 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63024191985 + ... + 63024192015.

It is an arithmetic number, because the mean of its divisors is an integer number (2489572800).

Almost surely, 2^{1953749952000} is an apocalyptic number.

1953749952000 is a gapful number since it is divisible by the number (10) 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 1953749952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779979776000).

1953749952000 is an abundant number, since it is smaller than the sum of its proper divisors (7606209600000).

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

1953749952000 is a wasteful number, since it uses less digits than its factorization.

1953749952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 1953749952000 in words is "one trillion, nine hundred fifty-three billion, seven hundred forty-nine million, nine hundred fifty-two thousand".