5212772400 has 240 divisors, whose sum is σ = 18388465920. Its totient is φ = 1251763200.

The previous prime is 5212772387. The next prime is 5212772429. The reversal of 5212772400 is 42772125.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1436989 + ... + 1440611.

It is an arithmetic number, because the mean of its divisors is an integer number (76618608).

Almost surely, 2^5212772400 is an apocalyptic number.

5212772400 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 5212772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194232960).

5212772400 is an abundant number, since it is smaller than the sum of its proper divisors (13175693520).

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

5212772400 is a wasteful number, since it uses less digits than its factorization.

5212772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 5212772400 is about 72199.5318544379. The cubic root of 5212772400 is about 1733.8955063420.

The spelling of 5212772400 in words is "five billion, two hundred twelve million, seven hundred seventy-two thousand, four hundred".