61295078400 has 264 divisors, whose sum is σ = 204504143040. Its totient is φ = 16190423040.

The previous prime is 61295078323. The next prime is 61295078401. The reversal of 61295078400 is 487059216.

It is not an unprimeable number, because it can be changed into a prime (61295078401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8213871 + ... + 8221329.

Almost surely, 2^61295078400 is an apocalyptic number.

61295078400 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 61295078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102252071520).

61295078400 is an abundant number, since it is smaller than the sum of its proper divisors (143209064640).

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

61295078400 is a wasteful number, since it uses less digits than its factorization.

61295078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 61295078400 in words is "sixty-one billion, two hundred ninety-five million, seventy-eight thousand, four hundred".