61903457280000 has 4480 divisors, whose sum is σ = 286545244170240. Its totient is φ = 12881756160000.

The previous prime is 61903457279977. The next prime is 61903457280029. The reversal of 61903457280000 is 8275430916.

61903457280000 is a `hidden beast` number, since 6 + 190 + 3 + 457 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 871879679965 + ... + 871879680035.

It is a 1-persistent number, because it is pandigital, but 2⋅61903457280000 = 123806914560000 is not.

Almost surely, 2^{61903457280000} is an apocalyptic number.

61903457280000 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 61903457280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143272622085120).

61903457280000 is an abundant number, since it is smaller than the sum of its proper divisors (224641786890240).

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

61903457280000 is an equidigital number, since it uses as much as digits as its factorization.

61903457280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61903457280000 in words is "sixty-one trillion, nine hundred three billion, four hundred fifty-seven million, two hundred eighty thousand".