59940945400 has 216 divisors, whose sum is σ = 171107374320. Its totient is φ = 19468391040.

The previous prime is 59940945359. The next prime is 59940945401. The reversal of 59940945400 is 454904995.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59940945401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3529329 + ... + 3546271.

It is an arithmetic number, because the mean of its divisors is an integer number (792163770).

Almost surely, 2^59940945400 is an apocalyptic number.

59940945400 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 59940945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85553687160).

59940945400 is an abundant number, since it is smaller than the sum of its proper divisors (111166428920).

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

59940945400 is a wasteful number, since it uses less digits than its factorization.

59940945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

It can be divided in two parts, 599409 and 45400, that added together give a square (644809 = 803²).

The spelling of 59940945400 in words is "fifty-nine billion, nine hundred forty million, nine hundred forty-five thousand, four hundred".