61457078419200 has 1080 divisors, whose sum is σ = 230383018293120. Its totient is φ = 16163081625600.

The previous prime is 61457078419199. The next prime is 61457078419207. The reversal of 61457078419200 is 291487075416.

61457078419200 is a `hidden beast` number, since 6 + 1 + 4 + 570 + 7 + 8 + 41 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61457078419207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11341034091 + ... + 11341039509.

Almost surely, 2^{61457078419200} is an apocalyptic number.

61457078419200 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 61457078419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115191509146560).

61457078419200 is an abundant number, since it is smaller than the sum of its proper divisors (168925939873920).

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

61457078419200 is a wasteful number, since it uses less digits than its factorization.

61457078419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 61457078419200 in words is "sixty-one trillion, four hundred fifty-seven billion, seventy-eight million, four hundred nineteen thousand, two hundred".