61277407957248 has 576 divisors, whose sum is σ = 205755777024000. Its totient is φ = 15785374556160.

The previous prime is 61277407957217. The next prime is 61277407957273. The reversal of 61277407957248 is 84275970477216.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467447553 + ... + 467578623.

Almost surely, 2^{61277407957248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61277407957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102877888512000).

61277407957248 is an abundant number, since it is smaller than the sum of its proper divisors (144478369066752).

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

61277407957248 is a wasteful number, since it uses less digits than its factorization.

61277407957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131338 (or 131324 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 69.

The spelling of 61277407957248 in words is "sixty-one trillion, two hundred seventy-seven billion, four hundred seven million, nine hundred fifty-seven thousand, two hundred forty-eight".