61354815600 has 720 divisors, whose sum is σ = 232622888960. Its totient is φ = 13724467200.

The previous prime is 61354815547. The next prime is 61354815649. The reversal of 61354815600 is 651845316.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139760181 + ... + 139760619.

Almost surely, 2^61354815600 is an apocalyptic number.

61354815600 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 61354815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116311444480).

61354815600 is an abundant number, since it is smaller than the sum of its proper divisors (171268073360).

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

61354815600 is a wasteful number, since it uses less digits than its factorization.

61354815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 61354815600 in words is "sixty-one billion, three hundred fifty-four million, eight hundred fifteen thousand, six hundred".