61812059400 has 1728 divisors, whose sum is σ = 281561978880. Its totient is φ = 12018585600.

The previous prime is 61812059399. The next prime is 61812059401. The reversal of 61812059400 is 495021816.

61812059400 is a `hidden beast` number, since 6 + 181 + 20 + 59 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (61812059399) and next prime (61812059401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61812059401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1315150177 + ... + 1315150223.

It is an arithmetic number, because the mean of its divisors is an integer number (162940960).

Almost surely, 2^61812059400 is an apocalyptic number.

61812059400 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 61812059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140780989440).

61812059400 is an abundant number, since it is smaller than the sum of its proper divisors (219749919480).

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

61812059400 is a wasteful number, since it uses less digits than its factorization.

61812059400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61812059400 in words is "sixty-one billion, eight hundred twelve million, fifty-nine thousand, four hundred".