5153552400 has 480 divisors, whose sum is σ = 18405072000. Its totient is φ = 1227571200.

The previous prime is 5153552377. The next prime is 5153552407. The reversal of 5153552400 is 42553515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5153552407) 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, 34587526 + ... + 34587674.

It is an arithmetic number, because the mean of its divisors is an integer number (38343900).

Almost surely, 2^5153552400 is an apocalyptic number.

5153552400 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 5153552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202536000).

5153552400 is an abundant number, since it is smaller than the sum of its proper divisors (13251519600).

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

5153552400 is a wasteful number, since it uses less digits than its factorization.

5153552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5153552400 is about 71788.2469489261. The cubic root of 5153552400 is about 1727.3044772473.

The spelling of 5153552400 in words is "five billion, one hundred fifty-three million, five hundred fifty-two thousand, four hundred".