61825641900 has 288 divisors, whose sum is σ = 197357368320. Its totient is φ = 14819328000.

The previous prime is 61825641877. The next prime is 61825641929. The reversal of 61825641900 is 914652816.

61825641900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61825641900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228138765 + ... + 228139035.

It is an arithmetic number, because the mean of its divisors is an integer number (685268640).

Almost surely, 2^61825641900 is an apocalyptic number.

61825641900 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 61825641900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98678684160).

61825641900 is an abundant number, since it is smaller than the sum of its proper divisors (135531726420).

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

61825641900 is a wasteful number, since it uses less digits than its factorization.

61825641900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61825641900 in words is "sixty-one billion, eight hundred twenty-five million, six hundred forty-one thousand, nine hundred".