1955420974080 has 1760 divisors, whose sum is σ = 8320380963840. Its totient is φ = 429928611840.

The previous prime is 1955420974061. The next prime is 1955420974121. The reversal of 1955420974080 is 804790245591.

It is a happy number.

1955420974080 is a `hidden beast` number, since 1 + 9 + 5 + 542 + 0 + 97 + 4 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10924139431 + ... + 10924139609.

It is an arithmetic number, because the mean of its divisors is an integer number (4727489184).

Almost surely, 2^{1955420974080} is an apocalyptic number.

1955420974080 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 1955420974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160190481920).

1955420974080 is an abundant number, since it is smaller than the sum of its proper divisors (6364959989760).

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

1955420974080 is a wasteful number, since it uses less digits than its factorization.

1955420974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1955420974080 in words is "one trillion, nine hundred fifty-five billion, four hundred twenty million, nine hundred seventy-four thousand, eighty".