1953421056 has 288 divisors, whose sum is σ = 6067736640. Its totient is φ = 619315200.

The previous prime is 1953421049. The next prime is 1953421061. The reversal of 1953421056 is 6501243591.

1953421056 is a `hidden beast` number, since 19 + 534 + 2 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1953421056.

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, 17286856 + ... + 17286968.

It is an arithmetic number, because the mean of its divisors is an integer number (21068530).

Almost surely, 2^1953421056 is an apocalyptic number.

1953421056 is a gapful number since it is divisible by the number (16) 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 1953421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033868320).

1953421056 is an abundant number, since it is smaller than the sum of its proper divisors (4114315584).

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

1953421056 is a wasteful number, since it uses less digits than its factorization.

1953421056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1953421056 is about 44197.5231885227. The cubic root of 1953421056 is about 1250.0631554224.

The spelling of 1953421056 in words is "one billion, nine hundred fifty-three million, four hundred twenty-one thousand, fifty-six".