48764157287040 has 2048 divisors, whose sum is σ = 196143316992000. Its totient is φ = 11367919779840.

The previous prime is 48764157287029. The next prime is 48764157287057. The reversal of 48764157287040 is 4078275146784.

48764157287040 is a `hidden beast` number, since 4 + 8 + 76 + 415 + 72 + 87 + 0 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75369639997 + ... + 75369640643.

It is an arithmetic number, because the mean of its divisors is an integer number (95773104000).

Almost surely, 2^{48764157287040} is an apocalyptic number.

48764157287040 is a gapful number since it is divisible by the number (40) 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 48764157287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98071658496000).

48764157287040 is an abundant number, since it is smaller than the sum of its proper divisors (147379159704960).

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

48764157287040 is a wasteful number, since it uses less digits than its factorization.

48764157287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 48764157287040 in words is "forty-eight trillion, seven hundred sixty-four billion, one hundred fifty-seven million, two hundred eighty-seven thousand, forty".