1952793722880 has 3072 divisors, whose sum is σ = 9618231168000. Its totient is φ = 374561832960.

The previous prime is 1952793722833. The next prime is 1952793722897. The reversal of 1952793722880 is 882273972591.

1952793722880 is a `hidden beast` number, since 1 + 9 + 527 + 9 + 3 + 7 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150214901754 + ... + 150214901766.

It is an arithmetic number, because the mean of its divisors is an integer number (3130934625).

Almost surely, 2^{1952793722880} is an apocalyptic number.

1952793722880 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 1952793722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809115584000).

1952793722880 is an abundant number, since it is smaller than the sum of its proper divisors (7665437445120).

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

1952793722880 is an frugal number, since it uses more digits than its factorization.

1952793722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1952793722880 in words is "one trillion, nine hundred fifty-two billion, seven hundred ninety-three million, seven hundred twenty-two thousand, eight hundred eighty".