61572651155400 has 1536 divisors, whose sum is σ = 266449186160640. Its totient is φ = 11368857600000.

The previous prime is 61572651155381. The next prime is 61572651155437. The reversal of 61572651155400 is 455115627516.

It is a self number, because there is not a number n which added to its sum of digits gives 61572651155400.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 998212560 + ... + 998274240.

It is an arithmetic number, because the mean of its divisors is an integer number (173469522240).

Almost surely, 2^{61572651155400} is an apocalyptic number.

61572651155400 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 61572651155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133224593080320).

61572651155400 is an abundant number, since it is smaller than the sum of its proper divisors (204876535005240).

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

61572651155400 is a wasteful number, since it uses less digits than its factorization.

61572651155400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61807 (or 61798 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 61572651155400 in words is "sixty-one trillion, five hundred seventy-two billion, six hundred fifty-one million, one hundred fifty-five thousand, four hundred".