1656553950 has 384 divisors, whose sum is σ = 5303232000. Its totient is φ = 377395200.

The previous prime is 1656553949. The next prime is 1656553981. The reversal of 1656553950 is 593556561.

It is a happy number.

1656553950 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 553 + 95 + 0 = 666.

1656553950 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1656553896 and 1656553905.

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, 12645385 + ... + 12645515.

It is an arithmetic number, because the mean of its divisors is an integer number (13810500).

Almost surely, 2^1656553950 is an apocalyptic number.

1656553950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656553950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).

1656553950 is an abundant number, since it is smaller than the sum of its proper divisors (3646678050).

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

1656553950 is a wasteful number, since it uses less digits than its factorization.

1656553950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 1656553950 is about 40700.7856189534. The cubic root of 1656553950 is about 1183.2282447619.

The spelling of 1656553950 in words is "one billion, six hundred fifty-six million, five hundred fifty-three thousand, nine hundred fifty".