5419756100 has 72 divisors (see below), whose sum is σ = 12878092416. Its totient is φ = 1963440000.

The previous prime is 5419756091. The next prime is 5419756109. The reversal of 5419756100 is 16579145.

It is an interprime number because it is at equal distance from previous prime (5419756091) and next prime (5419756109).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5419756109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289010 + ... + 307190.

Almost surely, 2^5419756100 is an apocalyptic number.

5419756100 is a gapful number since it is divisible by the number (50) 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 5419756100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439046208).

5419756100 is an abundant number, since it is smaller than the sum of its proper divisors (7458336316).

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

5419756100 is a wasteful number, since it uses less digits than its factorization.

5419756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 5419756100 is about 73618.9927939795. The cubic root of 5419756100 is about 1756.5475644788.

The spelling of 5419756100 in words is "five billion, four hundred nineteen million, seven hundred fifty-six thousand, one hundred".