5190271632 has 480 divisors, whose sum is σ = 19771734528. Its totient is φ = 1231110144.

The previous prime is 5190271621. The next prime is 5190271643. The reversal of 5190271632 is 2361720915.

5190271632 is a `hidden beast` number, since 5 + 19 + 0 + 2 + 7 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (5190271621) and next prime (5190271643).

It is a super-2 number, since 2×5190271632² = 53877839227887886848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5123158 + ... + 5124170.

Almost surely, 2^5190271632 is an apocalyptic number.

5190271632 is a gapful number since it is divisible by the number (52) 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 5190271632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885867264).

5190271632 is an abundant number, since it is smaller than the sum of its proper divisors (14581462896).

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

5190271632 is a wasteful number, since it uses less digits than its factorization.

5190271632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5190271632 is about 72043.5398352968. The cubic root of 5190271632 is about 1731.3971397191.

The spelling of 5190271632 in words is "five billion, one hundred ninety million, two hundred seventy-one thousand, six hundred thirty-two".