1954388217820 has 288 divisors, whose sum is σ = 4562703129600. Its totient is φ = 701067985920.

The previous prime is 1954388217791. The next prime is 1954388217823. The reversal of 1954388217820 is 287128834591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954388217823) 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 95 ways as a sum of consecutive naturals, for example, 4451909161 + ... + 4451909599.

It is an arithmetic number, because the mean of its divisors is an integer number (15842719200).

Almost surely, 2^{1954388217820} is an apocalyptic number.

1954388217820 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 1954388217820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281351564800).

1954388217820 is an abundant number, since it is smaller than the sum of its proper divisors (2608314911780).

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

1954388217820 is a wasteful number, since it uses less digits than its factorization.

1954388217820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 1954388217820 in words is "one trillion, nine hundred fifty-four billion, three hundred eighty-eight million, two hundred seventeen thousand, eight hundred twenty".