1972215152160 has 576 divisors, whose sum is σ = 7111243601280. Its totient is φ = 455114096640.

The previous prime is 1972215152071. The next prime is 1972215152191. The reversal of 1972215152160 is 612515122791.

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, 815975272 + ... + 815977688.

It is an arithmetic number, because the mean of its divisors is an integer number (12345909030).

Almost surely, 2^{1972215152160} is an apocalyptic number.

1972215152160 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 1972215152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555621800640).

1972215152160 is an abundant number, since it is smaller than the sum of its proper divisors (5139028449120).

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

1972215152160 is a wasteful number, since it uses less digits than its factorization.

1972215152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 1972215152160 in words is "one trillion, nine hundred seventy-two billion, two hundred fifteen million, one hundred fifty-two thousand, one hundred sixty".