61515278254080 has 2720 divisors, whose sum is σ = 267202389168000. Its totient is φ = 13517520371712.

The previous prime is 61515278254061. The next prime is 61515278254091. The reversal of 61515278254080 is 8045287251516.

61515278254080 is a `hidden beast` number, since 6 + 1 + 5 + 15 + 2 + 7 + 8 + 2 + 540 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 264014069644 + ... + 264014069876.

Almost surely, 2^{61515278254080} is an apocalyptic number.

61515278254080 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 61515278254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133601194584000).

61515278254080 is an abundant number, since it is smaller than the sum of its proper divisors (205687110913920).

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

61515278254080 is an frugal number, since it uses more digits than its factorization.

61515278254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 61515278254080 in words is "sixty-one trillion, five hundred fifteen billion, two hundred seventy-eight million, two hundred fifty-four thousand, eighty".