61958754412800 has 432 divisors, whose sum is σ = 233804084247552. Its totient is φ = 14154952089600.

The previous prime is 61958754412733. The next prime is 61958754412801. The reversal of 61958754412800 is 821445785916.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (61958754412801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272315085 + ... + 272542515.

Almost surely, 2^{61958754412800} is an apocalyptic number.

61958754412800 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 61958754412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116902042123776).

61958754412800 is an abundant number, since it is smaller than the sum of its proper divisors (171845329834752).

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

61958754412800 is a wasteful number, since it uses less digits than its factorization.

61958754412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229494 (or 229475 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 61958754412800 in words is "sixty-one trillion, nine hundred fifty-eight billion, seven hundred fifty-four million, four hundred twelve thousand, eight hundred".