1952054135280 has 480 divisors, whose sum is σ = 6999613942464. Its totient is φ = 485827313664.

The previous prime is 1952054135267. The next prime is 1952054135299. The reversal of 1952054135280 is 825314502591.

1952054135280 is a `hidden beast` number, since 1 + 9 + 5 + 20 + 541 + 3 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 836712994 + ... + 836715326.

Almost surely, 2^{1952054135280} is an apocalyptic number.

1952054135280 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 1952054135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499806971232).

1952054135280 is an abundant number, since it is smaller than the sum of its proper divisors (5047559807184).

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

1952054135280 is a wasteful number, since it uses less digits than its factorization.

1952054135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1952054135280 in words is "one trillion, nine hundred fifty-two billion, fifty-four million, one hundred thirty-five thousand, two hundred eighty".