1955246420820 has 576 divisors, whose sum is σ = 7166887693056. Its totient is φ = 393551585280.

The previous prime is 1955246420801. The next prime is 1955246420833. The reversal of 1955246420820 is 280246425591.

It is a super-2 number, since 2×1955246420820² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1955246420820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278799634 + ... + 278806646.

It is an arithmetic number, because the mean of its divisors is an integer number (12442513356).

Almost surely, 2^{1955246420820} is an apocalyptic number.

1955246420820 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 1955246420820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583443846528).

1955246420820 is an abundant number, since it is smaller than the sum of its proper divisors (5211641272236).

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

1955246420820 is a wasteful number, since it uses less digits than its factorization.

1955246420820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1955246420820 in words is "one trillion, nine hundred fifty-five billion, two hundred forty-six million, four hundred twenty thousand, eight hundred twenty".