1972911496320 has 128 divisors (see below), whose sum is σ = 6987394944000. Its totient is φ = 526109727744.

The previous prime is 1972911496301. The next prime is 1972911496333. The reversal of 1972911496320 is 236941192791.

1972911496320 is a `hidden beast` number, since 1 + 97 + 2 + 91 + 149 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57069280 + ... + 57103839.

It is an arithmetic number, because the mean of its divisors is an integer number (54589023000).

Almost surely, 2^{1972911496320} is an apocalyptic number.

1972911496320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972911496320 is an abundant number, since it is smaller than the sum of its proper divisors (5014483447680).

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

1972911496320 is a wasteful number, since it uses less digits than its factorization.

1972911496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114173147 (or 114173129 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1972911496320 in words is "one trillion, nine hundred seventy-two billion, nine hundred eleven million, four hundred ninety-six thousand, three hundred twenty".