1972815143904 has 192 divisors, whose sum is σ = 6283043424000. Its totient is φ = 597260459520.

The previous prime is 1972815143837. The next prime is 1972815143911. The reversal of 1972815143904 is 4093415182791.

1972815143904 is a `hidden beast` number, since 1 + 97 + 2 + 8 + 1 + 514 + 39 + 0 + 4 = 666.

It is a super-2 number, since 2×1972815143904² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10062687 + ... + 10256865.

It is an arithmetic number, because the mean of its divisors is an integer number (32724184500).

Almost surely, 2^{1972815143904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972815143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141521712000).

1972815143904 is an abundant number, since it is smaller than the sum of its proper divisors (4310228280096).

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

1972815143904 is a wasteful number, since it uses less digits than its factorization.

1972815143904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195278 (or 195264 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1972815143904 in words is "one trillion, nine hundred seventy-two billion, eight hundred fifteen million, one hundred forty-three thousand, nine hundred four".