1972415757312 has 2816 divisors, whose sum is σ = 8592447897600. Its totient is φ = 433564876800.

The previous prime is 1972415757209. The next prime is 1972415757317. The reversal of 1972415757312 is 2137575142791.

1972415757312 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 4 + 1 + 57 + 573 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972415757317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63626314737 + ... + 63626314767.

Almost surely, 2^{1972415757312} is an apocalyptic number.

1972415757312 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 1972415757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296223948800).

1972415757312 is an abundant number, since it is smaller than the sum of its proper divisors (6620032140288).

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

1972415757312 is a wasteful number, since it uses less digits than its factorization.

1972415757312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The spelling of 1972415757312 in words is "one trillion, nine hundred seventy-two billion, four hundred fifteen million, seven hundred fifty-seven thousand, three hundred twelve".