61093571400 has 144 divisors (see below), whose sum is σ = 205821731700. Its totient is φ = 16240074240.

The previous prime is 61093571393. The next prime is 61093571419. The reversal of 61093571400 is 417539016.

61093571400 is a `hidden beast` number, since 610 + 9 + 35 + 7 + 1 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22171805604 + 38921765796 = 148902^2 + 197286^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 517066 + ... + 624134.

Almost surely, 2^61093571400 is an apocalyptic number.

61093571400 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 61093571400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910865850).

61093571400 is an abundant number, since it is smaller than the sum of its proper divisors (144728160300).

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

61093571400 is a wasteful number, since it uses less digits than its factorization.

61093571400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107408 (or 107396 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 61093571400 in words is "sixty-one billion, ninety-three million, five hundred seventy-one thousand, four hundred".