1972200495960 has 768 divisors, whose sum is σ = 7068072960000. Its totient is φ = 474974502912.

The previous prime is 1972200495949. The next prime is 1972200496061. The reversal of 1972200495960 is 695940022791.

1972200495960 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 2 + 0 + 0 + 49 + 596 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1972200495897 and 1972200495906.

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, 5203695051 + ... + 5203695429.

It is an arithmetic number, because the mean of its divisors is an integer number (9203220000).

Almost surely, 2^{1972200495960} is an apocalyptic number.

1972200495960 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 1972200495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534036480000).

1972200495960 is an abundant number, since it is smaller than the sum of its proper divisors (5095872464040).

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

1972200495960 is a wasteful number, since it uses less digits than its factorization.

1972200495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1972200495960 in words is "one trillion, nine hundred seventy-two billion, two hundred million, four hundred ninety-five thousand, nine hundred sixty".