61261247400 has 96 divisors (see below), whose sum is σ = 190114290240. Its totient is φ = 16318748160.

The previous prime is 61261247389. The next prime is 61261247471. The reversal of 61261247400 is 474216216.

61261247400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507717 + ... + 616683.

It is an arithmetic number, because the mean of its divisors is an integer number (1980357190).

Almost surely, 2^61261247400 is an apocalyptic number.

61261247400 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 61261247400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95057145120).

61261247400 is an abundant number, since it is smaller than the sum of its proper divisors (128853042840).

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

61261247400 is a wasteful number, since it uses less digits than its factorization.

61261247400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109923 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 61261247400 in words is "sixty-one billion, two hundred sixty-one million, two hundred forty-seven thousand, four hundred".