31427288550 has 192 divisors, whose sum is σ = 103274818560. Its totient is φ = 6871011840.

The previous prime is 31427288479. The next prime is 31427288551. The reversal of 31427288550 is 5588272413.

31427288550 is a `hidden beast` number, since 3 + 14 + 2 + 7 + 2 + 88 + 550 = 666.

It is a super-2 number, since 2×31427288550² (a number of 22 digits) contains 22 as substring.

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 = 31427288496 and 31427288505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427288551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145054 + ... + 289646.

It is an arithmetic number, because the mean of its divisors is an integer number (537889680).

Almost surely, 2^31427288550 is an apocalyptic number.

31427288550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31427288550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51637409280).

31427288550 is an abundant number, since it is smaller than the sum of its proper divisors (71847530010).

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

31427288550 is a wasteful number, since it uses less digits than its factorization.

31427288550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144644 (or 144633 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 31427288550 in words is "thirty-one billion, four hundred twenty-seven million, two hundred eighty-eight thousand, five hundred fifty".