5155101600 has 288 divisors, whose sum is σ = 18898790400. Its totient is φ = 1209216000.

The previous prime is 5155101599. The next prime is 5155101617. The reversal of 5155101600 is 61015515.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815251 + ... + 821549.

It is an arithmetic number, because the mean of its divisors is an integer number (65620800).

Almost surely, 2^5155101600 is an apocalyptic number.

5155101600 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 5155101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

5155101600 is an abundant number, since it is smaller than the sum of its proper divisors (13743688800).

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

5155101600 is a wasteful number, since it uses less digits than its factorization.

5155101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 5155101600 is about 71799.0362052305. The cubic root of 5155101600 is about 1727.4775405246.

The spelling of 5155101600 in words is "five billion, one hundred fifty-five million, one hundred one thousand, six hundred".