1972115407152 has 480 divisors, whose sum is σ = 6649854382080. Its totient is φ = 559170293760.

The previous prime is 1972115407109. The next prime is 1972115407187. The reversal of 1972115407152 is 2517045112791.

1972115407152 is a `hidden beast` number, since 1 + 97 + 2 + 1 + 1 + 5 + 407 + 152 = 666.

It is a super-2 number, since 2×1972115407152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1972115407098 and 1972115407107.

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, 125772849 + ... + 125788527.

It is an arithmetic number, because the mean of its divisors is an integer number (13853863296).

Almost surely, 2^{1972115407152} is an apocalyptic number.

1972115407152 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 1972115407152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324927191040).

1972115407152 is an abundant number, since it is smaller than the sum of its proper divisors (4677738974928).

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

1972115407152 is a wasteful number, since it uses less digits than its factorization.

1972115407152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 1972115407152 in words is "one trillion, nine hundred seventy-two billion, one hundred fifteen million, four hundred seven thousand, one hundred fifty-two".