53219030400 has 768 divisors, whose sum is σ = 217191456000. Its totient is φ = 12647301120.

The previous prime is 53219030353. The next prime is 53219030407. The reversal of 53219030400 is 403091235.

53219030400 is a `hidden beast` number, since 532 + 1 + 90 + 3 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×53219030400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53219030407) 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, 27906247 + ... + 27908153.

It is an arithmetic number, because the mean of its divisors is an integer number (282801375).

Almost surely, 2^53219030400 is an apocalyptic number.

53219030400 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 53219030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108595728000).

53219030400 is an abundant number, since it is smaller than the sum of its proper divisors (163972425600).

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

53219030400 is a wasteful number, since it uses less digits than its factorization.

53219030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 53219030400 in words is "fifty-three billion, two hundred nineteen million, thirty thousand, four hundred".