66124520400 has 120 divisors (see below), whose sum is σ = 217543861024. Its totient is φ = 17156620800.

The previous prime is 66124520351. The next prime is 66124520417. The reversal of 66124520400 is 402542166.

66124520400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700246 + ... + 789045.

Almost surely, 2^66124520400 is an apocalyptic number.

66124520400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66124520400 is an abundant number, since it is smaller than the sum of its proper divisors (151419340624).

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

66124520400 is a wasteful number, since it uses less digits than its factorization.

66124520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489349 (or 1489338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 66124520400 in words is "sixty-six billion, one hundred twenty-four million, five hundred twenty thousand, four hundred".