1972110678500 has 384 divisors, whose sum is σ = 4889532211200. Its totient is φ = 690923520000.

The previous prime is 1972110678497. The next prime is 1972110678509. The reversal of 1972110678500 is 58760112791.

It is not an unprimeable number, because it can be changed into a prime (1972110678509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3125373185 + ... + 3125373815.

It is an arithmetic number, because the mean of its divisors is an integer number (12733156800).

Almost surely, 2^{1972110678500} is an apocalyptic number.

1972110678500 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 1972110678500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444766105600).

1972110678500 is an abundant number, since it is smaller than the sum of its proper divisors (2917421532700).

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

1972110678500 is a wasteful number, since it uses less digits than its factorization.

1972110678500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 47.

The spelling of 1972110678500 in words is "one trillion, nine hundred seventy-two billion, one hundred ten million, six hundred seventy-eight thousand, five hundred".