1952603392272 has 320 divisors, whose sum is σ = 5847414074880. Its totient is φ = 556671025152.

The previous prime is 1952603392247. The next prime is 1952603392283. The reversal of 1952603392272 is 2722933062591.

It is a super-3 number, since 3×1952603392272³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121596468 + ... + 121612524.

It is an arithmetic number, because the mean of its divisors is an integer number (18273168984).

Almost surely, 2^{1952603392272} is an apocalyptic number.

1952603392272 is a gapful number since it is divisible by the number (12) 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 1952603392272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923707037440).

1952603392272 is an abundant number, since it is smaller than the sum of its proper divisors (3894810682608).

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

1952603392272 is a wasteful number, since it uses less digits than its factorization.

1952603392272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16370 (or 16364 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 1952603392272 in words is "one trillion, nine hundred fifty-two billion, six hundred three million, three hundred ninety-two thousand, two hundred seventy-two".