61557389400 has 384 divisors, whose sum is σ = 223798176000. Its totient is φ = 13859112960.

The previous prime is 61557389389. The next prime is 61557389401. The reversal of 61557389400 is 498375516.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61557389400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61557389401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4290639 + ... + 4304961.

It is an arithmetic number, because the mean of its divisors is an integer number (582807750).

Almost surely, 2^61557389400 is an apocalyptic number.

61557389400 is a gapful number since it is divisible by the number (60) 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 61557389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111899088000).

61557389400 is an abundant number, since it is smaller than the sum of its proper divisors (162240786600).

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

61557389400 is a wasteful number, since it uses less digits than its factorization.

61557389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 61557389400 in words is "sixty-one billion, five hundred fifty-seven million, three hundred eighty-nine thousand, four hundred".