1952117988480 has 384 divisors, whose sum is σ = 7626083774400. Its totient is φ = 473240309760.

The previous prime is 1952117988463. The next prime is 1952117988493. The reversal of 1952117988480 is 848897112591.

1952117988480 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 1 + 1 + 79 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140166 + ... + 2281274.

Almost surely, 2^{1952117988480} is an apocalyptic number.

1952117988480 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 1952117988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813041887200).

1952117988480 is an abundant number, since it is smaller than the sum of its proper divisors (5673965785920).

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

1952117988480 is a wasteful number, since it uses less digits than its factorization.

1952117988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141154 (or 1141130 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 1952117988480 in words is "one trillion, nine hundred fifty-two billion, one hundred seventeen million, nine hundred eighty-eight thousand, four hundred eighty".