7133786550 has 288 divisors, whose sum is σ = 22256432640. Its totient is φ = 1620000000.

The previous prime is 7133786549. The next prime is 7133786573. The reversal of 7133786550 is 556873317.

7133786550 is a `hidden beast` number, since 7 + 13 + 3 + 7 + 86 + 550 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 = 7133786496 and 7133786505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9498675 + ... + 9499425.

It is an arithmetic number, because the mean of its divisors is an integer number (77279280).

Almost surely, 2^7133786550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133786550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128216320).

7133786550 is an abundant number, since it is smaller than the sum of its proper divisors (15122646090).

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

7133786550 is a wasteful number, since it uses less digits than its factorization.

7133786550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 7133786550 is about 84461.7460747764. The cubic root of 7133786550 is about 1925.0412359750.

The spelling of 7133786550 in words is "seven billion, one hundred thirty-three million, seven hundred eighty-six thousand, five hundred fifty".